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Finding the Fourth Proportional to 6,382.68, 9,574.74 and 2,919

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Solution

The fourth proportional to 6,382.68, 9,574.74 and 2,919 is: 4,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.68 : 9,574.74 = 2,919 : x
  2. Step 2: Convert to fraction form
    6,382.68/9,574.74 = 2,919/x
  3. Step 3: Cross multiply
    6,382.68x = 9,574.74 × 2,919
  4. Step 4: Simplify right side
    6,382.68x = 27,948,666.06
  5. Step 5: Solve for x
    x = 27,948,666.06/6,382.68
  6. Step 6: Final answer
    x = 4,378.83

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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.