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Finding the Fourth Proportional to 9,006.24, 13,497.08 and 5,713.44

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Solution

The fourth proportional to 9,006.24, 13,497.08 and 5,713.44 is: 8,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.24 : 13,497.08 = 5,713.44 : x
  2. Step 2: Convert to fraction form
    9,006.24/13,497.08 = 5,713.44/x
  3. Step 3: Cross multiply
    9,006.24x = 13,497.08 × 5,713.44
  4. Step 4: Simplify right side
    9,006.24x = 77,114,709.71
  5. Step 5: Solve for x
    x = 77,114,709.71/9,006.24
  6. Step 6: Final answer
    x = 8,562.37

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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.