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Finding the Fourth Proportional to 6,618.40, 9,132.82 and 3,785.20

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Solution

The fourth proportional to 6,618.40, 9,132.82 and 3,785.20 is: 5,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.40 : 9,132.82 = 3,785.20 : x
  2. Step 2: Convert to fraction form
    6,618.40/9,132.82 = 3,785.20/x
  3. Step 3: Cross multiply
    6,618.40x = 9,132.82 × 3,785.20
  4. Step 4: Simplify right side
    6,618.40x = 34,569,550.26
  5. Step 5: Solve for x
    x = 34,569,550.26/6,618.40
  6. Step 6: Final answer
    x = 5,223.25

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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.