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Finding the Fourth Proportional to 6,899.69, 9,522.88 and 3,915.80

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Solution

The fourth proportional to 6,899.69, 9,522.88 and 3,915.80 is: 5,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.69 : 9,522.88 = 3,915.80 : x
  2. Step 2: Convert to fraction form
    6,899.69/9,522.88 = 3,915.80/x
  3. Step 3: Cross multiply
    6,899.69x = 9,522.88 × 3,915.80
  4. Step 4: Simplify right side
    6,899.69x = 37,289,671.81
  5. Step 5: Solve for x
    x = 37,289,671.81/6,899.69
  6. Step 6: Final answer
    x = 5,404.55

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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.