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Finding the Fourth Proportional to 6,471.72, 9,710.46 and 3,393

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Solution

The fourth proportional to 6,471.72, 9,710.46 and 3,393 is: 5,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.72 : 9,710.46 = 3,393 : x
  2. Step 2: Convert to fraction form
    6,471.72/9,710.46 = 3,393/x
  3. Step 3: Cross multiply
    6,471.72x = 9,710.46 × 3,393
  4. Step 4: Simplify right side
    6,471.72x = 32,947,590.78
  5. Step 5: Solve for x
    x = 32,947,590.78/6,471.72
  6. Step 6: Final answer
    x = 5,091.01

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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.