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Finding the Fourth Proportional to 9,425.20, 14,140.02 and 2,851.44

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Solution

The fourth proportional to 9,425.20, 14,140.02 and 2,851.44 is: 4,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.20 : 14,140.02 = 2,851.44 : x
  2. Step 2: Convert to fraction form
    9,425.20/14,140.02 = 2,851.44/x
  3. Step 3: Cross multiply
    9,425.20x = 14,140.02 × 2,851.44
  4. Step 4: Simplify right side
    9,425.20x = 40,319,418.63
  5. Step 5: Solve for x
    x = 40,319,418.63/9,425.20
  6. Step 6: Final answer
    x = 4,277.83

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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.