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Finding the Fourth Proportional to 9,221.40, 13,832.10 and 3,375.63

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Solution

The fourth proportional to 9,221.40, 13,832.10 and 3,375.63 is: 5,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.40 : 13,832.10 = 3,375.63 : x
  2. Step 2: Convert to fraction form
    9,221.40/13,832.10 = 3,375.63/x
  3. Step 3: Cross multiply
    9,221.40x = 13,832.10 × 3,375.63
  4. Step 4: Simplify right side
    9,221.40x = 46,692,051.72
  5. Step 5: Solve for x
    x = 46,692,051.72/9,221.40
  6. Step 6: Final answer
    x = 5,063.45

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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.