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Finding the Fourth Proportional to 9,123.71, 13,676.45 and 7,869.22

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Solution

The fourth proportional to 9,123.71, 13,676.45 and 7,869.22 is: 11,795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.71 : 13,676.45 = 7,869.22 : x
  2. Step 2: Convert to fraction form
    9,123.71/13,676.45 = 7,869.22/x
  3. Step 3: Cross multiply
    9,123.71x = 13,676.45 × 7,869.22
  4. Step 4: Simplify right side
    9,123.71x = 107,622,920.33
  5. Step 5: Solve for x
    x = 107,622,920.33/9,123.71
  6. Step 6: Final answer
    x = 11,795.97

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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.