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Finding the Fourth Proportional to 9,442.02, 14,164.76 and 3,892.29

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Solution

The fourth proportional to 9,442.02, 14,164.76 and 3,892.29 is: 5,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.02 : 14,164.76 = 3,892.29 : x
  2. Step 2: Convert to fraction form
    9,442.02/14,164.76 = 3,892.29/x
  3. Step 3: Cross multiply
    9,442.02x = 14,164.76 × 3,892.29
  4. Step 4: Simplify right side
    9,442.02x = 55,133,353.70
  5. Step 5: Solve for x
    x = 55,133,353.70/9,442.02
  6. Step 6: Final answer
    x = 5,839.15

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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.