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Finding the Fourth Proportional to 6,841.91, 9,439.62 and 4,186.55

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Solution

The fourth proportional to 6,841.91, 9,439.62 and 4,186.55 is: 5,776.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.91 : 9,439.62 = 4,186.55 : x
  2. Step 2: Convert to fraction form
    6,841.91/9,439.62 = 4,186.55/x
  3. Step 3: Cross multiply
    6,841.91x = 9,439.62 × 4,186.55
  4. Step 4: Simplify right side
    6,841.91x = 39,519,441.11
  5. Step 5: Solve for x
    x = 39,519,441.11/6,841.91
  6. Step 6: Final answer
    x = 5,776.08

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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.