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Finding the Fourth Proportional to 7,023.66, 9,692.66 and 3,837

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Solution

The fourth proportional to 7,023.66, 9,692.66 and 3,837 is: 5,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.66 : 9,692.66 = 3,837 : x
  2. Step 2: Convert to fraction form
    7,023.66/9,692.66 = 3,837/x
  3. Step 3: Cross multiply
    7,023.66x = 9,692.66 × 3,837
  4. Step 4: Simplify right side
    7,023.66x = 37,190,717.24
  5. Step 5: Solve for x
    x = 37,190,717.24/7,023.66
  6. Step 6: Final answer
    x = 5,295.06

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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.