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Finding the Fourth Proportional to 6,167.84, 9,251.75 and 1,785.29

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Solution

The fourth proportional to 6,167.84, 9,251.75 and 1,785.29 is: 2,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.84 : 9,251.75 = 1,785.29 : x
  2. Step 2: Convert to fraction form
    6,167.84/9,251.75 = 1,785.29/x
  3. Step 3: Cross multiply
    6,167.84x = 9,251.75 × 1,785.29
  4. Step 4: Simplify right side
    6,167.84x = 16,517,024.70
  5. Step 5: Solve for x
    x = 16,517,024.70/6,167.84
  6. Step 6: Final answer
    x = 2,677.93

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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.