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Finding the Fourth Proportional to 9,820.44, 14,732.88 and 3,247.32

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Solution

The fourth proportional to 9,820.44, 14,732.88 and 3,247.32 is: 4,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.44 : 14,732.88 = 3,247.32 : x
  2. Step 2: Convert to fraction form
    9,820.44/14,732.88 = 3,247.32/x
  3. Step 3: Cross multiply
    9,820.44x = 14,732.88 × 3,247.32
  4. Step 4: Simplify right side
    9,820.44x = 47,842,375.88
  5. Step 5: Solve for x
    x = 47,842,375.88/9,820.44
  6. Step 6: Final answer
    x = 4,871.71

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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.