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Finding the Fourth Proportional to 6,631.66, 9,947.49 and 3,715.66

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Solution

The fourth proportional to 6,631.66, 9,947.49 and 3,715.66 is: 5,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.66 : 9,947.49 = 3,715.66 : x
  2. Step 2: Convert to fraction form
    6,631.66/9,947.49 = 3,715.66/x
  3. Step 3: Cross multiply
    6,631.66x = 9,947.49 × 3,715.66
  4. Step 4: Simplify right side
    6,631.66x = 36,961,490.69
  5. Step 5: Solve for x
    x = 36,961,490.69/6,631.66
  6. Step 6: Final answer
    x = 5,573.49

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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.