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Finding the Fourth Proportional to 7,100.91, 9,799.38 and 3,914.57

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Solution

The fourth proportional to 7,100.91, 9,799.38 and 3,914.57 is: 5,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.91 : 9,799.38 = 3,914.57 : x
  2. Step 2: Convert to fraction form
    7,100.91/9,799.38 = 3,914.57/x
  3. Step 3: Cross multiply
    7,100.91x = 9,799.38 × 3,914.57
  4. Step 4: Simplify right side
    7,100.91x = 38,360,383.47
  5. Step 5: Solve for x
    x = 38,360,383.47/7,100.91
  6. Step 6: Final answer
    x = 5,402.18

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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.