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Finding the Fourth Proportional to 6,287.62, 9,385.33 and 5,549.62

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Solution

The fourth proportional to 6,287.62, 9,385.33 and 5,549.62 is: 8,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.62 : 9,385.33 = 5,549.62 : x
  2. Step 2: Convert to fraction form
    6,287.62/9,385.33 = 5,549.62/x
  3. Step 3: Cross multiply
    6,287.62x = 9,385.33 × 5,549.62
  4. Step 4: Simplify right side
    6,287.62x = 52,084,987.33
  5. Step 5: Solve for x
    x = 52,084,987.33/6,287.62
  6. Step 6: Final answer
    x = 8,283.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.