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Finding the Fourth Proportional to 9,425.16, 14,138.42 and 2,851.88

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Solution

The fourth proportional to 9,425.16, 14,138.42 and 2,851.88 is: 4,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.16 : 14,138.42 = 2,851.88 : x
  2. Step 2: Convert to fraction form
    9,425.16/14,138.42 = 2,851.88/x
  3. Step 3: Cross multiply
    9,425.16x = 14,138.42 × 2,851.88
  4. Step 4: Simplify right side
    9,425.16x = 40,320,992.28
  5. Step 5: Solve for x
    x = 40,320,992.28/9,425.16
  6. Step 6: Final answer
    x = 4,278.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.