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Finding the Fourth Proportional to 9,915.62, 13,678.04 and 6,136.38

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Solution

The fourth proportional to 9,915.62, 13,678.04 and 6,136.38 is: 8,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.62 : 13,678.04 = 6,136.38 : x
  2. Step 2: Convert to fraction form
    9,915.62/13,678.04 = 6,136.38/x
  3. Step 3: Cross multiply
    9,915.62x = 13,678.04 × 6,136.38
  4. Step 4: Simplify right side
    9,915.62x = 83,933,620.41
  5. Step 5: Solve for x
    x = 83,933,620.41/9,915.62
  6. Step 6: Final answer
    x = 8,464.79

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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.