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Finding the Fourth Proportional to 9,976,472.80, 14,969,115.60 and 4,856,063.20

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Solution

The fourth proportional to 9,976,472.80, 14,969,115.60 and 4,856,063.20 is: 7,286,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976,472.80 : 14,969,115.60 = 4,856,063.20 : x
  2. Step 2: Convert to fraction form
    9,976,472.80/14,969,115.60 = 4,856,063.20/x
  3. Step 3: Cross multiply
    9,976,472.80x = 14,969,115.60 × 4,856,063.20
  4. Step 4: Simplify right side
    9,976,472.80x = 72,690,971,401,705.92
  5. Step 5: Solve for x
    x = 72,690,971,401,705.92/9,976,472.80
  6. Step 6: Final answer
    x = 7,286,239.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.