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Finding the Fourth Proportional to 6,875.82, 9,488.89 and 3,809.73

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Solution

The fourth proportional to 6,875.82, 9,488.89 and 3,809.73 is: 5,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.82 : 9,488.89 = 3,809.73 : x
  2. Step 2: Convert to fraction form
    6,875.82/9,488.89 = 3,809.73/x
  3. Step 3: Cross multiply
    6,875.82x = 9,488.89 × 3,809.73
  4. Step 4: Simplify right side
    6,875.82x = 36,150,108.90
  5. Step 5: Solve for x
    x = 36,150,108.90/6,875.82
  6. Step 6: Final answer
    x = 5,257.57

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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.