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Finding the Fourth Proportional to 6,287.28, 9,430.85 and 2,539.00

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Solution

The fourth proportional to 6,287.28, 9,430.85 and 2,539.00 is: 3,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.28 : 9,430.85 = 2,539.00 : x
  2. Step 2: Convert to fraction form
    6,287.28/9,430.85 = 2,539.00/x
  3. Step 3: Cross multiply
    6,287.28x = 9,430.85 × 2,539.00
  4. Step 4: Simplify right side
    6,287.28x = 23,944,910.92
  5. Step 5: Solve for x
    x = 23,944,910.92/6,287.28
  6. Step 6: Final answer
    x = 3,808.47

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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.