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Finding the Fourth Proportional to 6,275.28, 9,411.84 and 2,766

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Solution

The fourth proportional to 6,275.28, 9,411.84 and 2,766 is: 4,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.28 : 9,411.84 = 2,766 : x
  2. Step 2: Convert to fraction form
    6,275.28/9,411.84 = 2,766/x
  3. Step 3: Cross multiply
    6,275.28x = 9,411.84 × 2,766
  4. Step 4: Simplify right side
    6,275.28x = 26,033,149.44
  5. Step 5: Solve for x
    x = 26,033,149.44/6,275.28
  6. Step 6: Final answer
    x = 4,148.52

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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.