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Finding the Fourth Proportional to 9,947.63, 14,884.65 and 6,001.17

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Solution

The fourth proportional to 9,947.63, 14,884.65 and 6,001.17 is: 8,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.63 : 14,884.65 = 6,001.17 : x
  2. Step 2: Convert to fraction form
    9,947.63/14,884.65 = 6,001.17/x
  3. Step 3: Cross multiply
    9,947.63x = 14,884.65 × 6,001.17
  4. Step 4: Simplify right side
    9,947.63x = 89,325,315.04
  5. Step 5: Solve for x
    x = 89,325,315.04/9,947.63
  6. Step 6: Final answer
    x = 8,979.56

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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.