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Finding the Fourth Proportional to 9,242.91, 13,864.37 and 4,497.12

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Solution

The fourth proportional to 9,242.91, 13,864.37 and 4,497.12 is: 6,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.91 : 13,864.37 = 4,497.12 : x
  2. Step 2: Convert to fraction form
    9,242.91/13,864.37 = 4,497.12/x
  3. Step 3: Cross multiply
    9,242.91x = 13,864.37 × 4,497.12
  4. Step 4: Simplify right side
    9,242.91x = 62,349,713.13
  5. Step 5: Solve for x
    x = 62,349,713.13/9,242.91
  6. Step 6: Final answer
    x = 6,745.68

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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.