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Finding the Fourth Proportional to 6,875.96, 9,481.20 and 4,983.80

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Solution

The fourth proportional to 6,875.96, 9,481.20 and 4,983.80 is: 6,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.96 : 9,481.20 = 4,983.80 : x
  2. Step 2: Convert to fraction form
    6,875.96/9,481.20 = 4,983.80/x
  3. Step 3: Cross multiply
    6,875.96x = 9,481.20 × 4,983.80
  4. Step 4: Simplify right side
    6,875.96x = 47,252,404.56
  5. Step 5: Solve for x
    x = 47,252,404.56/6,875.96
  6. Step 6: Final answer
    x = 6,872.12

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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.