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Finding the Fourth Proportional to 6,853.86, 9,458.78 and 3,868.61

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Solution

The fourth proportional to 6,853.86, 9,458.78 and 3,868.61 is: 5,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.86 : 9,458.78 = 3,868.61 : x
  2. Step 2: Convert to fraction form
    6,853.86/9,458.78 = 3,868.61/x
  3. Step 3: Cross multiply
    6,853.86x = 9,458.78 × 3,868.61
  4. Step 4: Simplify right side
    6,853.86x = 36,592,264.26
  5. Step 5: Solve for x
    x = 36,592,264.26/6,853.86
  6. Step 6: Final answer
    x = 5,338.93

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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.