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Finding the Fourth Proportional to 6,947.16, 9,586.17 and 4,393.98

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Solution

The fourth proportional to 6,947.16, 9,586.17 and 4,393.98 is: 6,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.16 : 9,586.17 = 4,393.98 : x
  2. Step 2: Convert to fraction form
    6,947.16/9,586.17 = 4,393.98/x
  3. Step 3: Cross multiply
    6,947.16x = 9,586.17 × 4,393.98
  4. Step 4: Simplify right side
    6,947.16x = 42,121,439.26
  5. Step 5: Solve for x
    x = 42,121,439.26/6,947.16
  6. Step 6: Final answer
    x = 6,063.12

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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.