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Finding the Fourth Proportional to 7,131.78, 9,841.35 and 4,147.40

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Solution

The fourth proportional to 7,131.78, 9,841.35 and 4,147.40 is: 5,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.78 : 9,841.35 = 4,147.40 : x
  2. Step 2: Convert to fraction form
    7,131.78/9,841.35 = 4,147.40/x
  3. Step 3: Cross multiply
    7,131.78x = 9,841.35 × 4,147.40
  4. Step 4: Simplify right side
    7,131.78x = 40,816,014.99
  5. Step 5: Solve for x
    x = 40,816,014.99/7,131.78
  6. Step 6: Final answer
    x = 5,723.12

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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.