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Finding the Fourth Proportional to 6,092.75, 9,139.08 and 1,710.21

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Solution

The fourth proportional to 6,092.75, 9,139.08 and 1,710.21 is: 2,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.75 : 9,139.08 = 1,710.21 : x
  2. Step 2: Convert to fraction form
    6,092.75/9,139.08 = 1,710.21/x
  3. Step 3: Cross multiply
    6,092.75x = 9,139.08 × 1,710.21
  4. Step 4: Simplify right side
    6,092.75x = 15,629,700.31
  5. Step 5: Solve for x
    x = 15,629,700.31/6,092.75
  6. Step 6: Final answer
    x = 2,565.30

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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.