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Finding the Fourth Proportional to 7,026.66, 9,696.68 and 3,839.85

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Solution

The fourth proportional to 7,026.66, 9,696.68 and 3,839.85 is: 5,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.66 : 9,696.68 = 3,839.85 : x
  2. Step 2: Convert to fraction form
    7,026.66/9,696.68 = 3,839.85/x
  3. Step 3: Cross multiply
    7,026.66x = 9,696.68 × 3,839.85
  4. Step 4: Simplify right side
    7,026.66x = 37,233,777.50
  5. Step 5: Solve for x
    x = 37,233,777.50/7,026.66
  6. Step 6: Final answer
    x = 5,298.93

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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.