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Finding the Fourth Proportional to 7,170.19, 9,894.96 and 4,026.38

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Solution

The fourth proportional to 7,170.19, 9,894.96 and 4,026.38 is: 5,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.19 : 9,894.96 = 4,026.38 : x
  2. Step 2: Convert to fraction form
    7,170.19/9,894.96 = 4,026.38/x
  3. Step 3: Cross multiply
    7,170.19x = 9,894.96 × 4,026.38
  4. Step 4: Simplify right side
    7,170.19x = 39,840,819.57
  5. Step 5: Solve for x
    x = 39,840,819.57/7,170.19
  6. Step 6: Final answer
    x = 5,556.45

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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.