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Finding the Fourth Proportional to 9,221.95, 12,722.57 and 5,242.22

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Solution

The fourth proportional to 9,221.95, 12,722.57 and 5,242.22 is: 7,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.95 : 12,722.57 = 5,242.22 : x
  2. Step 2: Convert to fraction form
    9,221.95/12,722.57 = 5,242.22/x
  3. Step 3: Cross multiply
    9,221.95x = 12,722.57 × 5,242.22
  4. Step 4: Simplify right side
    9,221.95x = 66,694,488.45
  5. Step 5: Solve for x
    x = 66,694,488.45/9,221.95
  6. Step 6: Final answer
    x = 7,232.14

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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.