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Finding the Fourth Proportional to 6,538.18, 9,794.01 and 5,224.15

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Solution

The fourth proportional to 6,538.18, 9,794.01 and 5,224.15 is: 7,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.18 : 9,794.01 = 5,224.15 : x
  2. Step 2: Convert to fraction form
    6,538.18/9,794.01 = 5,224.15/x
  3. Step 3: Cross multiply
    6,538.18x = 9,794.01 × 5,224.15
  4. Step 4: Simplify right side
    6,538.18x = 51,165,377.34
  5. Step 5: Solve for x
    x = 51,165,377.34/6,538.18
  6. Step 6: Final answer
    x = 7,825.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.