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Finding the Fourth Proportional to 9,489.12, 13,095.17 and 5,508.78

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Solution

The fourth proportional to 9,489.12, 13,095.17 and 5,508.78 is: 7,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.12 : 13,095.17 = 5,508.78 : x
  2. Step 2: Convert to fraction form
    9,489.12/13,095.17 = 5,508.78/x
  3. Step 3: Cross multiply
    9,489.12x = 13,095.17 × 5,508.78
  4. Step 4: Simplify right side
    9,489.12x = 72,138,383.05
  5. Step 5: Solve for x
    x = 72,138,383.05/9,489.12
  6. Step 6: Final answer
    x = 7,602.22

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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.