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Finding the Fourth Proportional to 7,023.35, 9,692.07 and 3,836.52

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Solution

The fourth proportional to 7,023.35, 9,692.07 and 3,836.52 is: 5,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.35 : 9,692.07 = 3,836.52 : x
  2. Step 2: Convert to fraction form
    7,023.35/9,692.07 = 3,836.52/x
  3. Step 3: Cross multiply
    7,023.35x = 9,692.07 × 3,836.52
  4. Step 4: Simplify right side
    7,023.35x = 37,183,820.40
  5. Step 5: Solve for x
    x = 37,183,820.40/7,023.35
  6. Step 6: Final answer
    x = 5,294.32

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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.