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Finding the Fourth Proportional to 9,324.50, 13,986.75 and 6,393.92

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Solution

The fourth proportional to 9,324.50, 13,986.75 and 6,393.92 is: 9,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.50 : 13,986.75 = 6,393.92 : x
  2. Step 2: Convert to fraction form
    9,324.50/13,986.75 = 6,393.92/x
  3. Step 3: Cross multiply
    9,324.50x = 13,986.75 × 6,393.92
  4. Step 4: Simplify right side
    9,324.50x = 89,430,090.63
  5. Step 5: Solve for x
    x = 89,430,090.63/9,324.50
  6. Step 6: Final answer
    x = 9,590.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.