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Finding the Fourth Proportional to 7,022, 9,690.48 and 3,878.48

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Solution

The fourth proportional to 7,022, 9,690.48 and 3,878.48 is: 5,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022 : 9,690.48 = 3,878.48 : x
  2. Step 2: Convert to fraction form
    7,022/9,690.48 = 3,878.48/x
  3. Step 3: Cross multiply
    7,022x = 9,690.48 × 3,878.48
  4. Step 4: Simplify right side
    7,022x = 37,584,332.87
  5. Step 5: Solve for x
    x = 37,584,332.87/7,022
  6. Step 6: Final answer
    x = 5,352.37

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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.