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Finding the Fourth Proportional to 9,382.92, 14,054.50 and 6,086.20

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Solution

The fourth proportional to 9,382.92, 14,054.50 and 6,086.20 is: 9,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.92 : 14,054.50 = 6,086.20 : x
  2. Step 2: Convert to fraction form
    9,382.92/14,054.50 = 6,086.20/x
  3. Step 3: Cross multiply
    9,382.92x = 14,054.50 × 6,086.20
  4. Step 4: Simplify right side
    9,382.92x = 85,538,497.90
  5. Step 5: Solve for x
    x = 85,538,497.90/9,382.92
  6. Step 6: Final answer
    x = 9,116.40

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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.