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Finding the Fourth Proportional to 9,392.02, 12,961.13 and 5,200.27

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Solution

The fourth proportional to 9,392.02, 12,961.13 and 5,200.27 is: 7,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.02 : 12,961.13 = 5,200.27 : x
  2. Step 2: Convert to fraction form
    9,392.02/12,961.13 = 5,200.27/x
  3. Step 3: Cross multiply
    9,392.02x = 12,961.13 × 5,200.27
  4. Step 4: Simplify right side
    9,392.02x = 67,401,375.51
  5. Step 5: Solve for x
    x = 67,401,375.51/9,392.02
  6. Step 6: Final answer
    x = 7,176.45

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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.