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Finding the Fourth Proportional to 8,647.34, 11,934.89 and 6,781.10

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Solution

The fourth proportional to 8,647.34, 11,934.89 and 6,781.10 is: 9,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.34 : 11,934.89 = 6,781.10 : x
  2. Step 2: Convert to fraction form
    8,647.34/11,934.89 = 6,781.10/x
  3. Step 3: Cross multiply
    8,647.34x = 11,934.89 × 6,781.10
  4. Step 4: Simplify right side
    8,647.34x = 80,931,589.00
  5. Step 5: Solve for x
    x = 80,931,589.00/8,647.34
  6. Step 6: Final answer
    x = 9,359.14

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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.