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Finding the Fourth Proportional to 6,522.38, 9,782.03 and 3,010.19

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Solution

The fourth proportional to 6,522.38, 9,782.03 and 3,010.19 is: 4,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.38 : 9,782.03 = 3,010.19 : x
  2. Step 2: Convert to fraction form
    6,522.38/9,782.03 = 3,010.19/x
  3. Step 3: Cross multiply
    6,522.38x = 9,782.03 × 3,010.19
  4. Step 4: Simplify right side
    6,522.38x = 29,445,704.92
  5. Step 5: Solve for x
    x = 29,445,704.92/6,522.38
  6. Step 6: Final answer
    x = 4,514.57

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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.