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Finding the Fourth Proportional to 9,876.93, 14,819.78 and 5,195.80

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Solution

The fourth proportional to 9,876.93, 14,819.78 and 5,195.80 is: 7,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.93 : 14,819.78 = 5,195.80 : x
  2. Step 2: Convert to fraction form
    9,876.93/14,819.78 = 5,195.80/x
  3. Step 3: Cross multiply
    9,876.93x = 14,819.78 × 5,195.80
  4. Step 4: Simplify right side
    9,876.93x = 77,000,612.92
  5. Step 5: Solve for x
    x = 77,000,612.92/9,876.93
  6. Step 6: Final answer
    x = 7,796.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.