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Finding the Fourth Proportional to 6,287.20, 9,430.80 and 3,654.70

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Solution

The fourth proportional to 6,287.20, 9,430.80 and 3,654.70 is: 5,482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.20 : 9,430.80 = 3,654.70 : x
  2. Step 2: Convert to fraction form
    6,287.20/9,430.80 = 3,654.70/x
  3. Step 3: Cross multiply
    6,287.20x = 9,430.80 × 3,654.70
  4. Step 4: Simplify right side
    6,287.20x = 34,466,744.76
  5. Step 5: Solve for x
    x = 34,466,744.76/6,287.20
  6. Step 6: Final answer
    x = 5,482.05

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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.