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Finding the Fourth Proportional to 6,772.72, 9,354.48 and 5,101.60

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Solution

The fourth proportional to 6,772.72, 9,354.48 and 5,101.60 is: 7,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.72 : 9,354.48 = 5,101.60 : x
  2. Step 2: Convert to fraction form
    6,772.72/9,354.48 = 5,101.60/x
  3. Step 3: Cross multiply
    6,772.72x = 9,354.48 × 5,101.60
  4. Step 4: Simplify right side
    6,772.72x = 47,722,815.17
  5. Step 5: Solve for x
    x = 47,722,815.17/6,772.72
  6. Step 6: Final answer
    x = 7,046.33

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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.