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Finding the Fourth Proportional to 9,658.24, 14,487.36 and 5,040.16

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Solution

The fourth proportional to 9,658.24, 14,487.36 and 5,040.16 is: 7,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.24 : 14,487.36 = 5,040.16 : x
  2. Step 2: Convert to fraction form
    9,658.24/14,487.36 = 5,040.16/x
  3. Step 3: Cross multiply
    9,658.24x = 14,487.36 × 5,040.16
  4. Step 4: Simplify right side
    9,658.24x = 73,018,612.38
  5. Step 5: Solve for x
    x = 73,018,612.38/9,658.24
  6. Step 6: Final answer
    x = 7,560.24

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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.