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Finding the Fourth Proportional to 9,917.84, 14,876.66 and 3,343.46

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Solution

The fourth proportional to 9,917.84, 14,876.66 and 3,343.46 is: 5,015.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.84 : 14,876.66 = 3,343.46 : x
  2. Step 2: Convert to fraction form
    9,917.84/14,876.66 = 3,343.46/x
  3. Step 3: Cross multiply
    9,917.84x = 14,876.66 × 3,343.46
  4. Step 4: Simplify right side
    9,917.84x = 49,739,451.62
  5. Step 5: Solve for x
    x = 49,739,451.62/9,917.84
  6. Step 6: Final answer
    x = 5,015.15

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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.