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Finding the Fourth Proportional to 9,212.28, 12,712.92 and 5,020.50

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Solution

The fourth proportional to 9,212.28, 12,712.92 and 5,020.50 is: 6,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.28 : 12,712.92 = 5,020.50 : x
  2. Step 2: Convert to fraction form
    9,212.28/12,712.92 = 5,020.50/x
  3. Step 3: Cross multiply
    9,212.28x = 12,712.92 × 5,020.50
  4. Step 4: Simplify right side
    9,212.28x = 63,825,214.86
  5. Step 5: Solve for x
    x = 63,825,214.86/9,212.28
  6. Step 6: Final answer
    x = 6,928.28

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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.