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Finding the Fourth Proportional to 9,425.59, 14,138.22 and 2,851.83

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Solution

The fourth proportional to 9,425.59, 14,138.22 and 2,851.83 is: 4,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.59 : 14,138.22 = 2,851.83 : x
  2. Step 2: Convert to fraction form
    9,425.59/14,138.22 = 2,851.83/x
  3. Step 3: Cross multiply
    9,425.59x = 14,138.22 × 2,851.83
  4. Step 4: Simplify right side
    9,425.59x = 40,319,799.94
  5. Step 5: Solve for x
    x = 40,319,799.94/9,425.59
  6. Step 6: Final answer
    x = 4,277.70

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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.