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Finding the Fourth Proportional to 9,868.80, 14,802.70 and 2,472.83

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Solution

The fourth proportional to 9,868.80, 14,802.70 and 2,472.83 is: 3,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.80 : 14,802.70 = 2,472.83 : x
  2. Step 2: Convert to fraction form
    9,868.80/14,802.70 = 2,472.83/x
  3. Step 3: Cross multiply
    9,868.80x = 14,802.70 × 2,472.83
  4. Step 4: Simplify right side
    9,868.80x = 36,604,560.64
  5. Step 5: Solve for x
    x = 36,604,560.64/9,868.80
  6. Step 6: Final answer
    x = 3,709.12

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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.