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Finding the Fourth Proportional to 9,764,019.56, 13,475,142.50 and 5,414,470.12

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Solution

The fourth proportional to 9,764,019.56, 13,475,142.50 and 5,414,470.12 is: 7,472,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764,019.56 : 13,475,142.50 = 5,414,470.12 : x
  2. Step 2: Convert to fraction form
    9,764,019.56/13,475,142.50 = 5,414,470.12/x
  3. Step 3: Cross multiply
    9,764,019.56x = 13,475,142.50 × 5,414,470.12
  4. Step 4: Simplify right side
    9,764,019.56x = 72,960,756,428,992.09
  5. Step 5: Solve for x
    x = 72,960,756,428,992.09/9,764,019.56
  6. Step 6: Final answer
    x = 7,472,409.90

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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.