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Finding the Fourth Proportional to 6,841.28, 10,269.21 and 6,593.42

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Solution

The fourth proportional to 6,841.28, 10,269.21 and 6,593.42 is: 9,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.28 : 10,269.21 = 6,593.42 : x
  2. Step 2: Convert to fraction form
    6,841.28/10,269.21 = 6,593.42/x
  3. Step 3: Cross multiply
    6,841.28x = 10,269.21 × 6,593.42
  4. Step 4: Simplify right side
    6,841.28x = 67,709,214.60
  5. Step 5: Solve for x
    x = 67,709,214.60/6,841.28
  6. Step 6: Final answer
    x = 9,897.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.