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Finding the Fourth Proportional to 11,916.88, 16,441.95 and 9,391.15

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Solution

The fourth proportional to 11,916.88, 16,441.95 and 9,391.15 is: 12,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.88 : 16,441.95 = 9,391.15 : x
  2. Step 2: Convert to fraction form
    11,916.88/16,441.95 = 9,391.15/x
  3. Step 3: Cross multiply
    11,916.88x = 16,441.95 × 9,391.15
  4. Step 4: Simplify right side
    11,916.88x = 154,408,777.64
  5. Step 5: Solve for x
    x = 154,408,777.64/11,916.88
  6. Step 6: Final answer
    x = 12,957.15

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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.