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Finding the Fourth Proportional to 6,772.25, 9,337.01 and 5,637.85

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Solution

The fourth proportional to 6,772.25, 9,337.01 and 5,637.85 is: 7,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.25 : 9,337.01 = 5,637.85 : x
  2. Step 2: Convert to fraction form
    6,772.25/9,337.01 = 5,637.85/x
  3. Step 3: Cross multiply
    6,772.25x = 9,337.01 × 5,637.85
  4. Step 4: Simplify right side
    6,772.25x = 52,640,610.30
  5. Step 5: Solve for x
    x = 52,640,610.30/6,772.25
  6. Step 6: Final answer
    x = 7,772.98

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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.