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Finding the Fourth Proportional to 6,447,824.76, 9,663,765.52 and 3,253,864.36

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Solution

The fourth proportional to 6,447,824.76, 9,663,765.52 and 3,253,864.36 is: 4,876,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447,824.76 : 9,663,765.52 = 3,253,864.36 : x
  2. Step 2: Convert to fraction form
    6,447,824.76/9,663,765.52 = 3,253,864.36/x
  3. Step 3: Cross multiply
    6,447,824.76x = 9,663,765.52 × 3,253,864.36
  4. Step 4: Simplify right side
    6,447,824.76x = 31,444,582,208,924.86
  5. Step 5: Solve for x
    x = 31,444,582,208,924.86/6,447,824.76
  6. Step 6: Final answer
    x = 4,876,773.70

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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.