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Finding the Fourth Proportional to 7,112.95, 9,812.83 and 5,221.27

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Solution

The fourth proportional to 7,112.95, 9,812.83 and 5,221.27 is: 7,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.95 : 9,812.83 = 5,221.27 : x
  2. Step 2: Convert to fraction form
    7,112.95/9,812.83 = 5,221.27/x
  3. Step 3: Cross multiply
    7,112.95x = 9,812.83 × 5,221.27
  4. Step 4: Simplify right side
    7,112.95x = 51,235,434.89
  5. Step 5: Solve for x
    x = 51,235,434.89/7,112.95
  6. Step 6: Final answer
    x = 7,203.12

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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.