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Finding the Fourth Proportional to 9,212.81, 12,713.33 and 5,020.97

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Solution

The fourth proportional to 9,212.81, 12,713.33 and 5,020.97 is: 6,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.81 : 12,713.33 = 5,020.97 : x
  2. Step 2: Convert to fraction form
    9,212.81/12,713.33 = 5,020.97/x
  3. Step 3: Cross multiply
    9,212.81x = 12,713.33 × 5,020.97
  4. Step 4: Simplify right side
    9,212.81x = 63,833,197.52
  5. Step 5: Solve for x
    x = 63,833,197.52/9,212.81
  6. Step 6: Final answer
    x = 6,928.75

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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.