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Finding the Fourth Proportional to 7,072.64, 9,757.92 and 4,277.12

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Solution

The fourth proportional to 7,072.64, 9,757.92 and 4,277.12 is: 5,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.64 : 9,757.92 = 4,277.12 : x
  2. Step 2: Convert to fraction form
    7,072.64/9,757.92 = 4,277.12/x
  3. Step 3: Cross multiply
    7,072.64x = 9,757.92 × 4,277.12
  4. Step 4: Simplify right side
    7,072.64x = 41,735,794.79
  5. Step 5: Solve for x
    x = 41,735,794.79/7,072.64
  6. Step 6: Final answer
    x = 5,901.02

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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.