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Finding the Fourth Proportional to 7,115.17, 9,819.32 and 4,131.94

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Solution

The fourth proportional to 7,115.17, 9,819.32 and 4,131.94 is: 5,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.17 : 9,819.32 = 4,131.94 : x
  2. Step 2: Convert to fraction form
    7,115.17/9,819.32 = 4,131.94/x
  3. Step 3: Cross multiply
    7,115.17x = 9,819.32 × 4,131.94
  4. Step 4: Simplify right side
    7,115.17x = 40,572,820.42
  5. Step 5: Solve for x
    x = 40,572,820.42/7,115.17
  6. Step 6: Final answer
    x = 5,702.30

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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.