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Finding the Fourth Proportional to 7,018.25, 9,682.13 and 4,222.13

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Solution

The fourth proportional to 7,018.25, 9,682.13 and 4,222.13 is: 5,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,018.25 : 9,682.13 = 4,222.13 : x
  2. Step 2: Convert to fraction form
    7,018.25/9,682.13 = 4,222.13/x
  3. Step 3: Cross multiply
    7,018.25x = 9,682.13 × 4,222.13
  4. Step 4: Simplify right side
    7,018.25x = 40,879,173.68
  5. Step 5: Solve for x
    x = 40,879,173.68/7,018.25
  6. Step 6: Final answer
    x = 5,824.70

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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.