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Finding the Fourth Proportional to 6,875.66, 9,488.41 and 3,731.85

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Solution

The fourth proportional to 6,875.66, 9,488.41 and 3,731.85 is: 5,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.66 : 9,488.41 = 3,731.85 : x
  2. Step 2: Convert to fraction form
    6,875.66/9,488.41 = 3,731.85/x
  3. Step 3: Cross multiply
    6,875.66x = 9,488.41 × 3,731.85
  4. Step 4: Simplify right side
    6,875.66x = 35,409,275.42
  5. Step 5: Solve for x
    x = 35,409,275.42/6,875.66
  6. Step 6: Final answer
    x = 5,149.95

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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.