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Finding the Fourth Proportional to 7,023.29, 9,692.61 and 4,039.86

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Solution

The fourth proportional to 7,023.29, 9,692.61 and 4,039.86 is: 5,575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.29 : 9,692.61 = 4,039.86 : x
  2. Step 2: Convert to fraction form
    7,023.29/9,692.61 = 4,039.86/x
  3. Step 3: Cross multiply
    7,023.29x = 9,692.61 × 4,039.86
  4. Step 4: Simplify right side
    7,023.29x = 39,156,787.43
  5. Step 5: Solve for x
    x = 39,156,787.43/7,023.29
  6. Step 6: Final answer
    x = 5,575.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.