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Finding the Fourth Proportional to 6,853.19, 9,458.24 and 3,869.15

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Solution

The fourth proportional to 6,853.19, 9,458.24 and 3,869.15 is: 5,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.19 : 9,458.24 = 3,869.15 : x
  2. Step 2: Convert to fraction form
    6,853.19/9,458.24 = 3,869.15/x
  3. Step 3: Cross multiply
    6,853.19x = 9,458.24 × 3,869.15
  4. Step 4: Simplify right side
    6,853.19x = 36,595,282.66
  5. Step 5: Solve for x
    x = 36,595,282.66/6,853.19
  6. Step 6: Final answer
    x = 5,339.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.