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Finding the Fourth Proportional to 6,757.32, 9,328.53 and 4,243.14

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Solution

The fourth proportional to 6,757.32, 9,328.53 and 4,243.14 is: 5,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.32 : 9,328.53 = 4,243.14 : x
  2. Step 2: Convert to fraction form
    6,757.32/9,328.53 = 4,243.14/x
  3. Step 3: Cross multiply
    6,757.32x = 9,328.53 × 4,243.14
  4. Step 4: Simplify right side
    6,757.32x = 39,582,258.78
  5. Step 5: Solve for x
    x = 39,582,258.78/6,757.32
  6. Step 6: Final answer
    x = 5,857.69

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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.