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Finding the Fourth Proportional to 6,654.64, 9,178.80 and 5,395.75

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Solution

The fourth proportional to 6,654.64, 9,178.80 and 5,395.75 is: 7,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.64 : 9,178.80 = 5,395.75 : x
  2. Step 2: Convert to fraction form
    6,654.64/9,178.80 = 5,395.75/x
  3. Step 3: Cross multiply
    6,654.64x = 9,178.80 × 5,395.75
  4. Step 4: Simplify right side
    6,654.64x = 49,526,553.28
  5. Step 5: Solve for x
    x = 49,526,553.28/6,654.64
  6. Step 6: Final answer
    x = 7,442.40

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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.