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Finding the Fourth Proportional to 6,472.38, 9,708.58 and 1,969.47

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Solution

The fourth proportional to 6,472.38, 9,708.58 and 1,969.47 is: 2,954.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.38 : 9,708.58 = 1,969.47 : x
  2. Step 2: Convert to fraction form
    6,472.38/9,708.58 = 1,969.47/x
  3. Step 3: Cross multiply
    6,472.38x = 9,708.58 × 1,969.47
  4. Step 4: Simplify right side
    6,472.38x = 19,120,788.54
  5. Step 5: Solve for x
    x = 19,120,788.54/6,472.38
  6. Step 6: Final answer
    x = 2,954.21

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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.