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Finding the Fourth Proportional to 6,444.26, 9,665.49 and 2,062.10

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Solution

The fourth proportional to 6,444.26, 9,665.49 and 2,062.10 is: 3,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.26 : 9,665.49 = 2,062.10 : x
  2. Step 2: Convert to fraction form
    6,444.26/9,665.49 = 2,062.10/x
  3. Step 3: Cross multiply
    6,444.26x = 9,665.49 × 2,062.10
  4. Step 4: Simplify right side
    6,444.26x = 19,931,206.93
  5. Step 5: Solve for x
    x = 19,931,206.93/6,444.26
  6. Step 6: Final answer
    x = 3,092.86

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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.