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Finding the Fourth Proportional to 6,255.40, 9,381.60 and 3,617.20

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Solution

The fourth proportional to 6,255.40, 9,381.60 and 3,617.20 is: 5,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255.40 : 9,381.60 = 3,617.20 : x
  2. Step 2: Convert to fraction form
    6,255.40/9,381.60 = 3,617.20/x
  3. Step 3: Cross multiply
    6,255.40x = 9,381.60 × 3,617.20
  4. Step 4: Simplify right side
    6,255.40x = 33,935,123.52
  5. Step 5: Solve for x
    x = 33,935,123.52/6,255.40
  6. Step 6: Final answer
    x = 5,424.93

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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.