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Finding the Fourth Proportional to 9,261.76, 13,892.31 and 3,713.61

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Solution

The fourth proportional to 9,261.76, 13,892.31 and 3,713.61 is: 5,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.76 : 13,892.31 = 3,713.61 : x
  2. Step 2: Convert to fraction form
    9,261.76/13,892.31 = 3,713.61/x
  3. Step 3: Cross multiply
    9,261.76x = 13,892.31 × 3,713.61
  4. Step 4: Simplify right side
    9,261.76x = 51,590,673.44
  5. Step 5: Solve for x
    x = 51,590,673.44/9,261.76
  6. Step 6: Final answer
    x = 5,570.29

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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.