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Finding the Fourth Proportional to 6,899.57, 9,522.32 and 3,916.14

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Solution

The fourth proportional to 6,899.57, 9,522.32 and 3,916.14 is: 5,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.57 : 9,522.32 = 3,916.14 : x
  2. Step 2: Convert to fraction form
    6,899.57/9,522.32 = 3,916.14/x
  3. Step 3: Cross multiply
    6,899.57x = 9,522.32 × 3,916.14
  4. Step 4: Simplify right side
    6,899.57x = 37,290,738.24
  5. Step 5: Solve for x
    x = 37,290,738.24/6,899.57
  6. Step 6: Final answer
    x = 5,404.79

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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.