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Finding the Fourth Proportional to 9,992.28, 13,788.38 and 5,515.76

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Solution

The fourth proportional to 9,992.28, 13,788.38 and 5,515.76 is: 7,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.28 : 13,788.38 = 5,515.76 : x
  2. Step 2: Convert to fraction form
    9,992.28/13,788.38 = 5,515.76/x
  3. Step 3: Cross multiply
    9,992.28x = 13,788.38 × 5,515.76
  4. Step 4: Simplify right side
    9,992.28x = 76,053,394.87
  5. Step 5: Solve for x
    x = 76,053,394.87/9,992.28
  6. Step 6: Final answer
    x = 7,611.22

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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.