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Finding the Fourth Proportional to 9,916.83, 13,680.90 and 6,138.99

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Solution

The fourth proportional to 9,916.83, 13,680.90 and 6,138.99 is: 8,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.83 : 13,680.90 = 6,138.99 : x
  2. Step 2: Convert to fraction form
    9,916.83/13,680.90 = 6,138.99/x
  3. Step 3: Cross multiply
    9,916.83x = 13,680.90 × 6,138.99
  4. Step 4: Simplify right side
    9,916.83x = 83,986,908.29
  5. Step 5: Solve for x
    x = 83,986,908.29/9,916.83
  6. Step 6: Final answer
    x = 8,469.13

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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.