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Finding the Fourth Proportional to 9,947.08, 13,737.67 and 6,179.20

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Solution

The fourth proportional to 9,947.08, 13,737.67 and 6,179.20 is: 8,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.08 : 13,737.67 = 6,179.20 : x
  2. Step 2: Convert to fraction form
    9,947.08/13,737.67 = 6,179.20/x
  3. Step 3: Cross multiply
    9,947.08x = 13,737.67 × 6,179.20
  4. Step 4: Simplify right side
    9,947.08x = 84,887,760.67
  5. Step 5: Solve for x
    x = 84,887,760.67/9,947.08
  6. Step 6: Final answer
    x = 8,533.94

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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.