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Finding the Fourth Proportional to 9,229.32, 12,741.72 and 6,094.60

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Solution

The fourth proportional to 9,229.32, 12,741.72 and 6,094.60 is: 8,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.32 : 12,741.72 = 6,094.60 : x
  2. Step 2: Convert to fraction form
    9,229.32/12,741.72 = 6,094.60/x
  3. Step 3: Cross multiply
    9,229.32x = 12,741.72 × 6,094.60
  4. Step 4: Simplify right side
    9,229.32x = 77,655,686.71
  5. Step 5: Solve for x
    x = 77,655,686.71/9,229.32
  6. Step 6: Final answer
    x = 8,414.02

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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.