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Finding the Fourth Proportional to 11,869.77, 16,400.02 and 9,371

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Solution

The fourth proportional to 11,869.77, 16,400.02 and 9,371 is: 12,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.77 : 16,400.02 = 9,371 : x
  2. Step 2: Convert to fraction form
    11,869.77/16,400.02 = 9,371/x
  3. Step 3: Cross multiply
    11,869.77x = 16,400.02 × 9,371
  4. Step 4: Simplify right side
    11,869.77x = 153,684,540.57
  5. Step 5: Solve for x
    x = 153,684,540.57/11,869.77
  6. Step 6: Final answer
    x = 12,947.56

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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.