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Finding the Fourth Proportional to 9,224.56, 13,831.14 and 3,962.98

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Solution

The fourth proportional to 9,224.56, 13,831.14 and 3,962.98 is: 5,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.56 : 13,831.14 = 3,962.98 : x
  2. Step 2: Convert to fraction form
    9,224.56/13,831.14 = 3,962.98/x
  3. Step 3: Cross multiply
    9,224.56x = 13,831.14 × 3,962.98
  4. Step 4: Simplify right side
    9,224.56x = 54,812,531.20
  5. Step 5: Solve for x
    x = 54,812,531.20/9,224.56
  6. Step 6: Final answer
    x = 5,942.02

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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.