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Finding the Fourth Proportional to 9,251.30, 13,854.88 and 5,343.86

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Solution

The fourth proportional to 9,251.30, 13,854.88 and 5,343.86 is: 8,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.30 : 13,854.88 = 5,343.86 : x
  2. Step 2: Convert to fraction form
    9,251.30/13,854.88 = 5,343.86/x
  3. Step 3: Cross multiply
    9,251.30x = 13,854.88 × 5,343.86
  4. Step 4: Simplify right side
    9,251.30x = 74,038,539.04
  5. Step 5: Solve for x
    x = 74,038,539.04/9,251.30
  6. Step 6: Final answer
    x = 8,003.04

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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.