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Finding the Fourth Proportional to 9,311.48, 12,844.10 and 6,654.28

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Solution

The fourth proportional to 9,311.48, 12,844.10 and 6,654.28 is: 9,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.48 : 12,844.10 = 6,654.28 : x
  2. Step 2: Convert to fraction form
    9,311.48/12,844.10 = 6,654.28/x
  3. Step 3: Cross multiply
    9,311.48x = 12,844.10 × 6,654.28
  4. Step 4: Simplify right side
    9,311.48x = 85,468,237.75
  5. Step 5: Solve for x
    x = 85,468,237.75/9,311.48
  6. Step 6: Final answer
    x = 9,178.80

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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.