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Finding the Fourth Proportional to 6,522.19, 9,002.17 and 3,834

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Solution

The fourth proportional to 6,522.19, 9,002.17 and 3,834 is: 5,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.19 : 9,002.17 = 3,834 : x
  2. Step 2: Convert to fraction form
    6,522.19/9,002.17 = 3,834/x
  3. Step 3: Cross multiply
    6,522.19x = 9,002.17 × 3,834
  4. Step 4: Simplify right side
    6,522.19x = 34,514,324.57
  5. Step 5: Solve for x
    x = 34,514,324.57/6,522.19
  6. Step 6: Final answer
    x = 5,291.83

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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.