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Finding the Fourth Proportional to 6,522.42, 9,820.24 and 5,747.25

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Solution

The fourth proportional to 6,522.42, 9,820.24 and 5,747.25 is: 8,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.42 : 9,820.24 = 5,747.25 : x
  2. Step 2: Convert to fraction form
    6,522.42/9,820.24 = 5,747.25/x
  3. Step 3: Cross multiply
    6,522.42x = 9,820.24 × 5,747.25
  4. Step 4: Simplify right side
    6,522.42x = 56,439,396.80
  5. Step 5: Solve for x
    x = 56,439,396.80/6,522.42
  6. Step 6: Final answer
    x = 8,653.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.