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Finding the Fourth Proportional to 9,851.35, 13,578.78 and 6,861.99

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Solution

The fourth proportional to 9,851.35, 13,578.78 and 6,861.99 is: 9,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.35 : 13,578.78 = 6,861.99 : x
  2. Step 2: Convert to fraction form
    9,851.35/13,578.78 = 6,861.99/x
  3. Step 3: Cross multiply
    9,851.35x = 13,578.78 × 6,861.99
  4. Step 4: Simplify right side
    9,851.35x = 93,177,452.57
  5. Step 5: Solve for x
    x = 93,177,452.57/9,851.35
  6. Step 6: Final answer
    x = 9,458.34

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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.