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Finding the Fourth Proportional to 6,963.54, 9,615.24 and 6,432.25

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Solution

The fourth proportional to 6,963.54, 9,615.24 and 6,432.25 is: 8,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.54 : 9,615.24 = 6,432.25 : x
  2. Step 2: Convert to fraction form
    6,963.54/9,615.24 = 6,432.25/x
  3. Step 3: Cross multiply
    6,963.54x = 9,615.24 × 6,432.25
  4. Step 4: Simplify right side
    6,963.54x = 61,847,635.10
  5. Step 5: Solve for x
    x = 61,847,635.10/6,963.54
  6. Step 6: Final answer
    x = 8,881.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.