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Finding the Fourth Proportional to 9,994.88, 13,780.10 and 8,195.76

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Solution

The fourth proportional to 9,994.88, 13,780.10 and 8,195.76 is: 11,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.88 : 13,780.10 = 8,195.76 : x
  2. Step 2: Convert to fraction form
    9,994.88/13,780.10 = 8,195.76/x
  3. Step 3: Cross multiply
    9,994.88x = 13,780.10 × 8,195.76
  4. Step 4: Simplify right side
    9,994.88x = 112,938,392.38
  5. Step 5: Solve for x
    x = 112,938,392.38/9,994.88
  6. Step 6: Final answer
    x = 11,299.62

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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.