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Finding the Fourth Proportional to 6,846.32, 9,448.82 and 3,862.89

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Solution

The fourth proportional to 6,846.32, 9,448.82 and 3,862.89 is: 5,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.32 : 9,448.82 = 3,862.89 : x
  2. Step 2: Convert to fraction form
    6,846.32/9,448.82 = 3,862.89/x
  3. Step 3: Cross multiply
    6,846.32x = 9,448.82 × 3,862.89
  4. Step 4: Simplify right side
    6,846.32x = 36,499,747.46
  5. Step 5: Solve for x
    x = 36,499,747.46/6,846.32
  6. Step 6: Final answer
    x = 5,331.29

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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.