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Finding the Fourth Proportional to 6,899.96, 9,522.56 and 3,916.74

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Solution

The fourth proportional to 6,899.96, 9,522.56 and 3,916.74 is: 5,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.96 : 9,522.56 = 3,916.74 : x
  2. Step 2: Convert to fraction form
    6,899.96/9,522.56 = 3,916.74/x
  3. Step 3: Cross multiply
    6,899.96x = 9,522.56 × 3,916.74
  4. Step 4: Simplify right side
    6,899.96x = 37,297,391.65
  5. Step 5: Solve for x
    x = 37,297,391.65/6,899.96
  6. Step 6: Final answer
    x = 5,405.45

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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.