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Finding the Fourth Proportional to 9,581.82, 13,222.02 and 8,876.53

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Solution

The fourth proportional to 9,581.82, 13,222.02 and 8,876.53 is: 12,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.82 : 13,222.02 = 8,876.53 : x
  2. Step 2: Convert to fraction form
    9,581.82/13,222.02 = 8,876.53/x
  3. Step 3: Cross multiply
    9,581.82x = 13,222.02 × 8,876.53
  4. Step 4: Simplify right side
    9,581.82x = 117,365,657.19
  5. Step 5: Solve for x
    x = 117,365,657.19/9,581.82
  6. Step 6: Final answer
    x = 12,248.79

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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.