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Finding the Fourth Proportional to 6,472.70, 9,701.95 and 3,693.32

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Solution

The fourth proportional to 6,472.70, 9,701.95 and 3,693.32 is: 5,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.70 : 9,701.95 = 3,693.32 : x
  2. Step 2: Convert to fraction form
    6,472.70/9,701.95 = 3,693.32/x
  3. Step 3: Cross multiply
    6,472.70x = 9,701.95 × 3,693.32
  4. Step 4: Simplify right side
    6,472.70x = 35,832,348.23
  5. Step 5: Solve for x
    x = 35,832,348.23/6,472.70
  6. Step 6: Final answer
    x = 5,535.92

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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.