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Finding the Fourth Proportional to 6,472.41, 9,718.34 and 3,702.21

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Solution

The fourth proportional to 6,472.41, 9,718.34 and 3,702.21 is: 5,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.41 : 9,718.34 = 3,702.21 : x
  2. Step 2: Convert to fraction form
    6,472.41/9,718.34 = 3,702.21/x
  3. Step 3: Cross multiply
    6,472.41x = 9,718.34 × 3,702.21
  4. Step 4: Simplify right side
    6,472.41x = 35,979,317.02
  5. Step 5: Solve for x
    x = 35,979,317.02/6,472.41
  6. Step 6: Final answer
    x = 5,558.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.