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Finding the Fourth Proportional to 6,502.55, 9,753.82 and 6,223.70

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Solution

The fourth proportional to 6,502.55, 9,753.82 and 6,223.70 is: 9,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.55 : 9,753.82 = 6,223.70 : x
  2. Step 2: Convert to fraction form
    6,502.55/9,753.82 = 6,223.70/x
  3. Step 3: Cross multiply
    6,502.55x = 9,753.82 × 6,223.70
  4. Step 4: Simplify right side
    6,502.55x = 60,704,858.36
  5. Step 5: Solve for x
    x = 60,704,858.36/6,502.55
  6. Step 6: Final answer
    x = 9,335.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.