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Finding the Fourth Proportional to 6,523.29, 9,002.75 and 3,728.25

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Solution

The fourth proportional to 6,523.29, 9,002.75 and 3,728.25 is: 5,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.29 : 9,002.75 = 3,728.25 : x
  2. Step 2: Convert to fraction form
    6,523.29/9,002.75 = 3,728.25/x
  3. Step 3: Cross multiply
    6,523.29x = 9,002.75 × 3,728.25
  4. Step 4: Simplify right side
    6,523.29x = 33,564,484.05
  5. Step 5: Solve for x
    x = 33,564,484.05/6,523.29
  6. Step 6: Final answer
    x = 5,145.33

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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.