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Finding the Fourth Proportional to 7,022.16, 9,690.48 and 3,878.24

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Solution

The fourth proportional to 7,022.16, 9,690.48 and 3,878.24 is: 5,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.16 : 9,690.48 = 3,878.24 : x
  2. Step 2: Convert to fraction form
    7,022.16/9,690.48 = 3,878.24/x
  3. Step 3: Cross multiply
    7,022.16x = 9,690.48 × 3,878.24
  4. Step 4: Simplify right side
    7,022.16x = 37,582,007.16
  5. Step 5: Solve for x
    x = 37,582,007.16/7,022.16
  6. Step 6: Final answer
    x = 5,351.92

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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.