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Finding the Fourth Proportional to 9,422.40, 14,121.45 and 6,822.30

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Solution

The fourth proportional to 9,422.40, 14,121.45 and 6,822.30 is: 10,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.40 : 14,121.45 = 6,822.30 : x
  2. Step 2: Convert to fraction form
    9,422.40/14,121.45 = 6,822.30/x
  3. Step 3: Cross multiply
    9,422.40x = 14,121.45 × 6,822.30
  4. Step 4: Simplify right side
    9,422.40x = 96,340,768.34
  5. Step 5: Solve for x
    x = 96,340,768.34/9,422.40
  6. Step 6: Final answer
    x = 10,224.65

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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.