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Finding the Fourth Proportional to 6,728.30, 9,278.70 and 5,132.12

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Solution

The fourth proportional to 6,728.30, 9,278.70 and 5,132.12 is: 7,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.30 : 9,278.70 = 5,132.12 : x
  2. Step 2: Convert to fraction form
    6,728.30/9,278.70 = 5,132.12/x
  3. Step 3: Cross multiply
    6,728.30x = 9,278.70 × 5,132.12
  4. Step 4: Simplify right side
    6,728.30x = 47,619,401.84
  5. Step 5: Solve for x
    x = 47,619,401.84/6,728.30
  6. Step 6: Final answer
    x = 7,077.48

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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.