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Finding the Fourth Proportional to 9,561.32, 13,161.86 and 8,294.92

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Solution

The fourth proportional to 9,561.32, 13,161.86 and 8,294.92 is: 11,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.32 : 13,161.86 = 8,294.92 : x
  2. Step 2: Convert to fraction form
    9,561.32/13,161.86 = 8,294.92/x
  3. Step 3: Cross multiply
    9,561.32x = 13,161.86 × 8,294.92
  4. Step 4: Simplify right side
    9,561.32x = 109,176,563.58
  5. Step 5: Solve for x
    x = 109,176,563.58/9,561.32
  6. Step 6: Final answer
    x = 11,418.57

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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.