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Finding the Fourth Proportional to 7,026.35, 9,696.36 and 3,839.67

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Solution

The fourth proportional to 7,026.35, 9,696.36 and 3,839.67 is: 5,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.35 : 9,696.36 = 3,839.67 : x
  2. Step 2: Convert to fraction form
    7,026.35/9,696.36 = 3,839.67/x
  3. Step 3: Cross multiply
    7,026.35x = 9,696.36 × 3,839.67
  4. Step 4: Simplify right side
    7,026.35x = 37,230,822.60
  5. Step 5: Solve for x
    x = 37,230,822.60/7,026.35
  6. Step 6: Final answer
    x = 5,298.75

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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.