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Finding the Fourth Proportional to 9,662,839.80, 14,496,009.30 and 4,858,438.20

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Solution

The fourth proportional to 9,662,839.80, 14,496,009.30 and 4,858,438.20 is: 7,288,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,839.80 : 14,496,009.30 = 4,858,438.20 : x
  2. Step 2: Convert to fraction form
    9,662,839.80/14,496,009.30 = 4,858,438.20/x
  3. Step 3: Cross multiply
    9,662,839.80x = 14,496,009.30 × 4,858,438.20
  4. Step 4: Simplify right side
    9,662,839.80x = 70,427,965,330,675.27
  5. Step 5: Solve for x
    x = 70,427,965,330,675.27/9,662,839.80
  6. Step 6: Final answer
    x = 7,288,536.99

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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.