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Finding the Fourth Proportional to 6,891.82, 9,510.14 and 3,908.15

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Solution

The fourth proportional to 6,891.82, 9,510.14 and 3,908.15 is: 5,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.82 : 9,510.14 = 3,908.15 : x
  2. Step 2: Convert to fraction form
    6,891.82/9,510.14 = 3,908.15/x
  3. Step 3: Cross multiply
    6,891.82x = 9,510.14 × 3,908.15
  4. Step 4: Simplify right side
    6,891.82x = 37,167,051.52
  5. Step 5: Solve for x
    x = 37,167,051.52/6,891.82
  6. Step 6: Final answer
    x = 5,392.92

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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.