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Finding the Fourth Proportional to 7,131.53, 9,841.01 and 4,147.15

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Solution

The fourth proportional to 7,131.53, 9,841.01 and 4,147.15 is: 5,722.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.53 : 9,841.01 = 4,147.15 : x
  2. Step 2: Convert to fraction form
    7,131.53/9,841.01 = 4,147.15/x
  3. Step 3: Cross multiply
    7,131.53x = 9,841.01 × 4,147.15
  4. Step 4: Simplify right side
    7,131.53x = 40,812,099.28
  5. Step 5: Solve for x
    x = 40,812,099.28/7,131.53
  6. Step 6: Final answer
    x = 5,722.77

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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.