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Finding the Fourth Proportional to 9,832.48, 13,565.10 and 6,295.12

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Solution

The fourth proportional to 9,832.48, 13,565.10 and 6,295.12 is: 8,684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.48 : 13,565.10 = 6,295.12 : x
  2. Step 2: Convert to fraction form
    9,832.48/13,565.10 = 6,295.12/x
  3. Step 3: Cross multiply
    9,832.48x = 13,565.10 × 6,295.12
  4. Step 4: Simplify right side
    9,832.48x = 85,393,932.31
  5. Step 5: Solve for x
    x = 85,393,932.31/9,832.48
  6. Step 6: Final answer
    x = 8,684.88

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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.