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Finding the Fourth Proportional to 9,146.32, 13,652.90 and 8,275.92

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Solution

The fourth proportional to 9,146.32, 13,652.90 and 8,275.92 is: 12,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.32 : 13,652.90 = 8,275.92 : x
  2. Step 2: Convert to fraction form
    9,146.32/13,652.90 = 8,275.92/x
  3. Step 3: Cross multiply
    9,146.32x = 13,652.90 × 8,275.92
  4. Step 4: Simplify right side
    9,146.32x = 112,990,308.17
  5. Step 5: Solve for x
    x = 112,990,308.17/9,146.32
  6. Step 6: Final answer
    x = 12,353.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.