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Finding the Fourth Proportional to 9,221.09, 13,818.47 and 3,948.80

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Solution

The fourth proportional to 9,221.09, 13,818.47 and 3,948.80 is: 5,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.09 : 13,818.47 = 3,948.80 : x
  2. Step 2: Convert to fraction form
    9,221.09/13,818.47 = 3,948.80/x
  3. Step 3: Cross multiply
    9,221.09x = 13,818.47 × 3,948.80
  4. Step 4: Simplify right side
    9,221.09x = 54,566,285.50
  5. Step 5: Solve for x
    x = 54,566,285.50/9,221.09
  6. Step 6: Final answer
    x = 5,917.56

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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.