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Finding the Fourth Proportional to 6,895.35, 9,517.68 and 6,542.64

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Solution

The fourth proportional to 6,895.35, 9,517.68 and 6,542.64 is: 9,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.35 : 9,517.68 = 6,542.64 : x
  2. Step 2: Convert to fraction form
    6,895.35/9,517.68 = 6,542.64/x
  3. Step 3: Cross multiply
    6,895.35x = 9,517.68 × 6,542.64
  4. Step 4: Simplify right side
    6,895.35x = 62,270,753.88
  5. Step 5: Solve for x
    x = 62,270,753.88/6,895.35
  6. Step 6: Final answer
    x = 9,030.83

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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.