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Finding the Fourth Proportional to 6,432.97, 9,652.47 and 2,276.12

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Solution

The fourth proportional to 6,432.97, 9,652.47 and 2,276.12 is: 3,415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.97 : 9,652.47 = 2,276.12 : x
  2. Step 2: Convert to fraction form
    6,432.97/9,652.47 = 2,276.12/x
  3. Step 3: Cross multiply
    6,432.97x = 9,652.47 × 2,276.12
  4. Step 4: Simplify right side
    6,432.97x = 21,970,180.02
  5. Step 5: Solve for x
    x = 21,970,180.02/6,432.97
  6. Step 6: Final answer
    x = 3,415.25

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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.