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Finding the Fourth Proportional to 7,072.14, 9,759.72 and 3,928.50

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Solution

The fourth proportional to 7,072.14, 9,759.72 and 3,928.50 is: 5,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.14 : 9,759.72 = 3,928.50 : x
  2. Step 2: Convert to fraction form
    7,072.14/9,759.72 = 3,928.50/x
  3. Step 3: Cross multiply
    7,072.14x = 9,759.72 × 3,928.50
  4. Step 4: Simplify right side
    7,072.14x = 38,341,060.02
  5. Step 5: Solve for x
    x = 38,341,060.02/7,072.14
  6. Step 6: Final answer
    x = 5,421.42

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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.