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Finding the Fourth Proportional to 9,255.16, 12,771.98 and 5,063.42

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Solution

The fourth proportional to 9,255.16, 12,771.98 and 5,063.42 is: 6,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.16 : 12,771.98 = 5,063.42 : x
  2. Step 2: Convert to fraction form
    9,255.16/12,771.98 = 5,063.42/x
  3. Step 3: Cross multiply
    9,255.16x = 12,771.98 × 5,063.42
  4. Step 4: Simplify right side
    9,255.16x = 64,669,898.97
  5. Step 5: Solve for x
    x = 64,669,898.97/9,255.16
  6. Step 6: Final answer
    x = 6,987.44

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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.