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Finding the Fourth Proportional to 7,072.74, 9,760.32 and 3,928.86

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Solution

The fourth proportional to 7,072.74, 9,760.32 and 3,928.86 is: 5,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.74 : 9,760.32 = 3,928.86 : x
  2. Step 2: Convert to fraction form
    7,072.74/9,760.32 = 3,928.86/x
  3. Step 3: Cross multiply
    7,072.74x = 9,760.32 × 3,928.86
  4. Step 4: Simplify right side
    7,072.74x = 38,346,930.84
  5. Step 5: Solve for x
    x = 38,346,930.84/7,072.74
  6. Step 6: Final answer
    x = 5,421.79

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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.