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Finding the Fourth Proportional to 6,859.88, 9,466.48 and 3,876.12

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Solution

The fourth proportional to 6,859.88, 9,466.48 and 3,876.12 is: 5,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.88 : 9,466.48 = 3,876.12 : x
  2. Step 2: Convert to fraction form
    6,859.88/9,466.48 = 3,876.12/x
  3. Step 3: Cross multiply
    6,859.88x = 9,466.48 × 3,876.12
  4. Step 4: Simplify right side
    6,859.88x = 36,693,212.46
  5. Step 5: Solve for x
    x = 36,693,212.46/6,859.88
  6. Step 6: Final answer
    x = 5,348.96

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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.