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Finding the Fourth Proportional to 9,915.38, 13,684.44 and 5,723.62

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Solution

The fourth proportional to 9,915.38, 13,684.44 and 5,723.62 is: 7,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.38 : 13,684.44 = 5,723.62 : x
  2. Step 2: Convert to fraction form
    9,915.38/13,684.44 = 5,723.62/x
  3. Step 3: Cross multiply
    9,915.38x = 13,684.44 × 5,723.62
  4. Step 4: Simplify right side
    9,915.38x = 78,324,534.47
  5. Step 5: Solve for x
    x = 78,324,534.47/9,915.38
  6. Step 6: Final answer
    x = 7,899.30

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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.