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Finding the Fourth Proportional to 7,206.16, 9,944.56 and 4,222.08

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Solution

The fourth proportional to 7,206.16, 9,944.56 and 4,222.08 is: 5,826.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.16 : 9,944.56 = 4,222.08 : x
  2. Step 2: Convert to fraction form
    7,206.16/9,944.56 = 4,222.08/x
  3. Step 3: Cross multiply
    7,206.16x = 9,944.56 × 4,222.08
  4. Step 4: Simplify right side
    7,206.16x = 41,986,727.88
  5. Step 5: Solve for x
    x = 41,986,727.88/7,206.16
  6. Step 6: Final answer
    x = 5,826.51

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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.