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Finding the Fourth Proportional to 6,357.17, 9,535.76 and 1,974.62

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Solution

The fourth proportional to 6,357.17, 9,535.76 and 1,974.62 is: 2,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.17 : 9,535.76 = 1,974.62 : x
  2. Step 2: Convert to fraction form
    6,357.17/9,535.76 = 1,974.62/x
  3. Step 3: Cross multiply
    6,357.17x = 9,535.76 × 1,974.62
  4. Step 4: Simplify right side
    6,357.17x = 18,829,444.86
  5. Step 5: Solve for x
    x = 18,829,444.86/6,357.17
  6. Step 6: Final answer
    x = 2,961.92

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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.