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Finding the Fourth Proportional to 9,559.92, 14,332.56 and 5,404.62

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Solution

The fourth proportional to 9,559.92, 14,332.56 and 5,404.62 is: 8,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.92 : 14,332.56 = 5,404.62 : x
  2. Step 2: Convert to fraction form
    9,559.92/14,332.56 = 5,404.62/x
  3. Step 3: Cross multiply
    9,559.92x = 14,332.56 × 5,404.62
  4. Step 4: Simplify right side
    9,559.92x = 77,462,040.43
  5. Step 5: Solve for x
    x = 77,462,040.43/9,559.92
  6. Step 6: Final answer
    x = 8,102.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.