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Finding the Fourth Proportional to 6,287.28, 9,433.65 and 2,392.80

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Solution

The fourth proportional to 6,287.28, 9,433.65 and 2,392.80 is: 3,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.28 : 9,433.65 = 2,392.80 : x
  2. Step 2: Convert to fraction form
    6,287.28/9,433.65 = 2,392.80/x
  3. Step 3: Cross multiply
    6,287.28x = 9,433.65 × 2,392.80
  4. Step 4: Simplify right side
    6,287.28x = 22,572,837.72
  5. Step 5: Solve for x
    x = 22,572,837.72/6,287.28
  6. Step 6: Final answer
    x = 3,590.24

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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.