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Finding the Fourth Proportional to 6,748.32, 9,311.72 and 3,763.74

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Solution

The fourth proportional to 6,748.32, 9,311.72 and 3,763.74 is: 5,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.32 : 9,311.72 = 3,763.74 : x
  2. Step 2: Convert to fraction form
    6,748.32/9,311.72 = 3,763.74/x
  3. Step 3: Cross multiply
    6,748.32x = 9,311.72 × 3,763.74
  4. Step 4: Simplify right side
    6,748.32x = 35,046,893.03
  5. Step 5: Solve for x
    x = 35,046,893.03/6,748.32
  6. Step 6: Final answer
    x = 5,193.42

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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.