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Finding the Fourth Proportional to 6,875.28, 9,487.75 and 3,891.06

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Solution

The fourth proportional to 6,875.28, 9,487.75 and 3,891.06 is: 5,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.28 : 9,487.75 = 3,891.06 : x
  2. Step 2: Convert to fraction form
    6,875.28/9,487.75 = 3,891.06/x
  3. Step 3: Cross multiply
    6,875.28x = 9,487.75 × 3,891.06
  4. Step 4: Simplify right side
    6,875.28x = 36,917,404.52
  5. Step 5: Solve for x
    x = 36,917,404.52/6,875.28
  6. Step 6: Final answer
    x = 5,369.59

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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.