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Finding the Fourth Proportional to 9,916.38, 13,685.91 and 6,389.84

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Solution

The fourth proportional to 9,916.38, 13,685.91 and 6,389.84 is: 8,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.38 : 13,685.91 = 6,389.84 : x
  2. Step 2: Convert to fraction form
    9,916.38/13,685.91 = 6,389.84/x
  3. Step 3: Cross multiply
    9,916.38x = 13,685.91 × 6,389.84
  4. Step 4: Simplify right side
    9,916.38x = 87,450,706.72
  5. Step 5: Solve for x
    x = 87,450,706.72/9,916.38
  6. Step 6: Final answer
    x = 8,818.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.