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Finding the Fourth Proportional to 9,156.89, 13,732.02 and 3,892.25

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Solution

The fourth proportional to 9,156.89, 13,732.02 and 3,892.25 is: 5,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.89 : 13,732.02 = 3,892.25 : x
  2. Step 2: Convert to fraction form
    9,156.89/13,732.02 = 3,892.25/x
  3. Step 3: Cross multiply
    9,156.89x = 13,732.02 × 3,892.25
  4. Step 4: Simplify right side
    9,156.89x = 53,448,386.18
  5. Step 5: Solve for x
    x = 53,448,386.18/9,156.89
  6. Step 6: Final answer
    x = 5,836.96

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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.