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Finding the Fourth Proportional to 6,469,658.40, 9,714,985.20 and 3,635,306.40

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Solution

The fourth proportional to 6,469,658.40, 9,714,985.20 and 3,635,306.40 is: 5,458,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,658.40 : 9,714,985.20 = 3,635,306.40 : x
  2. Step 2: Convert to fraction form
    6,469,658.40/9,714,985.20 = 3,635,306.40/x
  3. Step 3: Cross multiply
    6,469,658.40x = 9,714,985.20 × 3,635,306.40
  4. Step 4: Simplify right side
    6,469,658.40x = 35,316,947,873,465.27
  5. Step 5: Solve for x
    x = 35,316,947,873,465.27/6,469,658.40
  6. Step 6: Final answer
    x = 5,458,858.21

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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.