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Finding the Fourth Proportional to 6,432.47, 9,651.71 and 2,275.63

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Solution

The fourth proportional to 6,432.47, 9,651.71 and 2,275.63 is: 3,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.47 : 9,651.71 = 2,275.63 : x
  2. Step 2: Convert to fraction form
    6,432.47/9,651.71 = 2,275.63/x
  3. Step 3: Cross multiply
    6,432.47x = 9,651.71 × 2,275.63
  4. Step 4: Simplify right side
    6,432.47x = 21,963,720.83
  5. Step 5: Solve for x
    x = 21,963,720.83/6,432.47
  6. Step 6: Final answer
    x = 3,414.51

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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.