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Finding the Fourth Proportional to 7,022.01, 9,690.31 and 3,878.13

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Solution

The fourth proportional to 7,022.01, 9,690.31 and 3,878.13 is: 5,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.01 : 9,690.31 = 3,878.13 : x
  2. Step 2: Convert to fraction form
    7,022.01/9,690.31 = 3,878.13/x
  3. Step 3: Cross multiply
    7,022.01x = 9,690.31 × 3,878.13
  4. Step 4: Simplify right side
    7,022.01x = 37,580,223.77
  5. Step 5: Solve for x
    x = 37,580,223.77/7,022.01
  6. Step 6: Final answer
    x = 5,351.78

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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.