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Finding the Fourth Proportional to 9,622.82, 14,417.80 and 5,232.44

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Solution

The fourth proportional to 9,622.82, 14,417.80 and 5,232.44 is: 7,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.82 : 14,417.80 = 5,232.44 : x
  2. Step 2: Convert to fraction form
    9,622.82/14,417.80 = 5,232.44/x
  3. Step 3: Cross multiply
    9,622.82x = 14,417.80 × 5,232.44
  4. Step 4: Simplify right side
    9,622.82x = 75,440,273.43
  5. Step 5: Solve for x
    x = 75,440,273.43/9,622.82
  6. Step 6: Final answer
    x = 7,839.73

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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.