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Finding the Fourth Proportional to 6,738.60, 9,298.16 and 3,753.76

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Solution

The fourth proportional to 6,738.60, 9,298.16 and 3,753.76 is: 5,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.60 : 9,298.16 = 3,753.76 : x
  2. Step 2: Convert to fraction form
    6,738.60/9,298.16 = 3,753.76/x
  3. Step 3: Cross multiply
    6,738.60x = 9,298.16 × 3,753.76
  4. Step 4: Simplify right side
    6,738.60x = 34,903,061.08
  5. Step 5: Solve for x
    x = 34,903,061.08/6,738.60
  6. Step 6: Final answer
    x = 5,179.57

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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.