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Finding the Fourth Proportional to 9,915.77, 13,683.99 and 6,139.55

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Solution

The fourth proportional to 9,915.77, 13,683.99 and 6,139.55 is: 8,472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.77 : 13,683.99 = 6,139.55 : x
  2. Step 2: Convert to fraction form
    9,915.77/13,683.99 = 6,139.55/x
  3. Step 3: Cross multiply
    9,915.77x = 13,683.99 × 6,139.55
  4. Step 4: Simplify right side
    9,915.77x = 84,013,472.38
  5. Step 5: Solve for x
    x = 84,013,472.38/9,915.77
  6. Step 6: Final answer
    x = 8,472.72

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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.