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Finding the Fourth Proportional to 7,122.26, 9,828.68 and 4,138.22

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Solution

The fourth proportional to 7,122.26, 9,828.68 and 4,138.22 is: 5,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.26 : 9,828.68 = 4,138.22 : x
  2. Step 2: Convert to fraction form
    7,122.26/9,828.68 = 4,138.22/x
  3. Step 3: Cross multiply
    7,122.26x = 9,828.68 × 4,138.22
  4. Step 4: Simplify right side
    7,122.26x = 40,673,240.15
  5. Step 5: Solve for x
    x = 40,673,240.15/7,122.26
  6. Step 6: Final answer
    x = 5,710.72

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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.