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Finding the Fourth Proportional to 9,753.12, 14,630.10 and 3,831.29

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Solution

The fourth proportional to 9,753.12, 14,630.10 and 3,831.29 is: 5,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.12 : 14,630.10 = 3,831.29 : x
  2. Step 2: Convert to fraction form
    9,753.12/14,630.10 = 3,831.29/x
  3. Step 3: Cross multiply
    9,753.12x = 14,630.10 × 3,831.29
  4. Step 4: Simplify right side
    9,753.12x = 56,052,123.17
  5. Step 5: Solve for x
    x = 56,052,123.17/9,753.12
  6. Step 6: Final answer
    x = 5,747.10

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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.