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Finding the Fourth Proportional to 6,122.58, 9,178.38 and 2,422.32

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Solution

The fourth proportional to 6,122.58, 9,178.38 and 2,422.32 is: 3,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.58 : 9,178.38 = 2,422.32 : x
  2. Step 2: Convert to fraction form
    6,122.58/9,178.38 = 2,422.32/x
  3. Step 3: Cross multiply
    6,122.58x = 9,178.38 × 2,422.32
  4. Step 4: Simplify right side
    6,122.58x = 22,232,973.44
  5. Step 5: Solve for x
    x = 22,232,973.44/6,122.58
  6. Step 6: Final answer
    x = 3,631.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.