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Finding the Fourth Proportional to 9,240.64, 13,853.36 and 6,324.64

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Solution

The fourth proportional to 9,240.64, 13,853.36 and 6,324.64 is: 9,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.64 : 13,853.36 = 6,324.64 : x
  2. Step 2: Convert to fraction form
    9,240.64/13,853.36 = 6,324.64/x
  3. Step 3: Cross multiply
    9,240.64x = 13,853.36 × 6,324.64
  4. Step 4: Simplify right side
    9,240.64x = 87,617,514.79
  5. Step 5: Solve for x
    x = 87,617,514.79/9,240.64
  6. Step 6: Final answer
    x = 9,481.76

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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.