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Finding the Fourth Proportional to 9,508.62, 13,112 and 5,731.02

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Solution

The fourth proportional to 9,508.62, 13,112 and 5,731.02 is: 7,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.62 : 13,112 = 5,731.02 : x
  2. Step 2: Convert to fraction form
    9,508.62/13,112 = 5,731.02/x
  3. Step 3: Cross multiply
    9,508.62x = 13,112 × 5,731.02
  4. Step 4: Simplify right side
    9,508.62x = 75,145,134.24
  5. Step 5: Solve for x
    x = 75,145,134.24/9,508.62
  6. Step 6: Final answer
    x = 7,902.84

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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.