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Finding the Fourth Proportional to 11,209.33, 15,472.97 and 9,109.81

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Solution

The fourth proportional to 11,209.33, 15,472.97 and 9,109.81 is: 12,574.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.33 : 15,472.97 = 9,109.81 : x
  2. Step 2: Convert to fraction form
    11,209.33/15,472.97 = 9,109.81/x
  3. Step 3: Cross multiply
    11,209.33x = 15,472.97 × 9,109.81
  4. Step 4: Simplify right side
    11,209.33x = 140,955,816.84
  5. Step 5: Solve for x
    x = 140,955,816.84/11,209.33
  6. Step 6: Final answer
    x = 12,574.87

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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.