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Finding the Fourth Proportional to 9,504.71, 13,116.31 and 5,255.92

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Solution

The fourth proportional to 9,504.71, 13,116.31 and 5,255.92 is: 7,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.71 : 13,116.31 = 5,255.92 : x
  2. Step 2: Convert to fraction form
    9,504.71/13,116.31 = 5,255.92/x
  3. Step 3: Cross multiply
    9,504.71x = 13,116.31 × 5,255.92
  4. Step 4: Simplify right side
    9,504.71x = 68,938,230.12
  5. Step 5: Solve for x
    x = 68,938,230.12/9,504.71
  6. Step 6: Final answer
    x = 7,253.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.