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Finding the Fourth Proportional to 9,591.09, 14,382.86 and 4,659.27

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Solution

The fourth proportional to 9,591.09, 14,382.86 and 4,659.27 is: 6,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.09 : 14,382.86 = 4,659.27 : x
  2. Step 2: Convert to fraction form
    9,591.09/14,382.86 = 4,659.27/x
  3. Step 3: Cross multiply
    9,591.09x = 14,382.86 × 4,659.27
  4. Step 4: Simplify right side
    9,591.09x = 67,013,604.82
  5. Step 5: Solve for x
    x = 67,013,604.82/9,591.09
  6. Step 6: Final answer
    x = 6,987.07

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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.