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Finding the Fourth Proportional to 7,102,729.92, 9,795,230.52 and 4,654,451.76

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Solution

The fourth proportional to 7,102,729.92, 9,795,230.52 and 4,654,451.76 is: 6,418,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102,729.92 : 9,795,230.52 = 4,654,451.76 : x
  2. Step 2: Convert to fraction form
    7,102,729.92/9,795,230.52 = 4,654,451.76/x
  3. Step 3: Cross multiply
    7,102,729.92x = 9,795,230.52 × 4,654,451.76
  4. Step 4: Simplify right side
    7,102,729.92x = 45,591,427,933,419.71
  5. Step 5: Solve for x
    x = 45,591,427,933,419.71/7,102,729.92
  6. Step 6: Final answer
    x = 6,418,859.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.