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Finding the Fourth Proportional to 6,574.29, 9,864.32 and 3,453.57

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Solution

The fourth proportional to 6,574.29, 9,864.32 and 3,453.57 is: 5,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.29 : 9,864.32 = 3,453.57 : x
  2. Step 2: Convert to fraction form
    6,574.29/9,864.32 = 3,453.57/x
  3. Step 3: Cross multiply
    6,574.29x = 9,864.32 × 3,453.57
  4. Step 4: Simplify right side
    6,574.29x = 34,067,119.62
  5. Step 5: Solve for x
    x = 34,067,119.62/6,574.29
  6. Step 6: Final answer
    x = 5,181.87

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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.