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Finding the Fourth Proportional to 9,579.87, 13,218.78 and 5,387.31

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Solution

The fourth proportional to 9,579.87, 13,218.78 and 5,387.31 is: 7,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.87 : 13,218.78 = 5,387.31 : x
  2. Step 2: Convert to fraction form
    9,579.87/13,218.78 = 5,387.31/x
  3. Step 3: Cross multiply
    9,579.87x = 13,218.78 × 5,387.31
  4. Step 4: Simplify right side
    9,579.87x = 71,213,665.68
  5. Step 5: Solve for x
    x = 71,213,665.68/9,579.87
  6. Step 6: Final answer
    x = 7,433.68

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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.