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Finding the Fourth Proportional to 6,822.58, 9,374.36 and 5,422.90

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Solution

The fourth proportional to 6,822.58, 9,374.36 and 5,422.90 is: 7,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.58 : 9,374.36 = 5,422.90 : x
  2. Step 2: Convert to fraction form
    6,822.58/9,374.36 = 5,422.90/x
  3. Step 3: Cross multiply
    6,822.58x = 9,374.36 × 5,422.90
  4. Step 4: Simplify right side
    6,822.58x = 50,836,216.84
  5. Step 5: Solve for x
    x = 50,836,216.84/6,822.58
  6. Step 6: Final answer
    x = 7,451.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.