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Finding the Fourth Proportional to 9,917.74, 14,877.33 and 3,341.74

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Solution

The fourth proportional to 9,917.74, 14,877.33 and 3,341.74 is: 5,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.74 : 14,877.33 = 3,341.74 : x
  2. Step 2: Convert to fraction form
    9,917.74/14,877.33 = 3,341.74/x
  3. Step 3: Cross multiply
    9,917.74x = 14,877.33 × 3,341.74
  4. Step 4: Simplify right side
    9,917.74x = 49,716,168.75
  5. Step 5: Solve for x
    x = 49,716,168.75/9,917.74
  6. Step 6: Final answer
    x = 5,012.85

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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.