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Finding the Fourth Proportional to 9,425.97, 14,133.58 and 3,874.75

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Solution

The fourth proportional to 9,425.97, 14,133.58 and 3,874.75 is: 5,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.97 : 14,133.58 = 3,874.75 : x
  2. Step 2: Convert to fraction form
    9,425.97/14,133.58 = 3,874.75/x
  3. Step 3: Cross multiply
    9,425.97x = 14,133.58 × 3,874.75
  4. Step 4: Simplify right side
    9,425.97x = 54,764,089.11
  5. Step 5: Solve for x
    x = 54,764,089.11/9,425.97
  6. Step 6: Final answer
    x = 5,809.92

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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.