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Finding the Fourth Proportional to 9,652.64, 14,480.88 and 3,414.32

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Solution

The fourth proportional to 9,652.64, 14,480.88 and 3,414.32 is: 5,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.64 : 14,480.88 = 3,414.32 : x
  2. Step 2: Convert to fraction form
    9,652.64/14,480.88 = 3,414.32/x
  3. Step 3: Cross multiply
    9,652.64x = 14,480.88 × 3,414.32
  4. Step 4: Simplify right side
    9,652.64x = 49,442,358.20
  5. Step 5: Solve for x
    x = 49,442,358.20/9,652.64
  6. Step 6: Final answer
    x = 5,122.16

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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.