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Finding the Fourth Proportional to 9,196.34, 12,703.76 and 8,854.97

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Solution

The fourth proportional to 9,196.34, 12,703.76 and 8,854.97 is: 12,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.34 : 12,703.76 = 8,854.97 : x
  2. Step 2: Convert to fraction form
    9,196.34/12,703.76 = 8,854.97/x
  3. Step 3: Cross multiply
    9,196.34x = 12,703.76 × 8,854.97
  4. Step 4: Simplify right side
    9,196.34x = 112,491,413.69
  5. Step 5: Solve for x
    x = 112,491,413.69/9,196.34
  6. Step 6: Final answer
    x = 12,232.19

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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.