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Finding the Fourth Proportional to 6,346.44, 9,522.34 and 3,421.33

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Solution

The fourth proportional to 6,346.44, 9,522.34 and 3,421.33 is: 5,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.44 : 9,522.34 = 3,421.33 : x
  2. Step 2: Convert to fraction form
    6,346.44/9,522.34 = 3,421.33/x
  3. Step 3: Cross multiply
    6,346.44x = 9,522.34 × 3,421.33
  4. Step 4: Simplify right side
    6,346.44x = 32,579,067.51
  5. Step 5: Solve for x
    x = 32,579,067.51/6,346.44
  6. Step 6: Final answer
    x = 5,133.44

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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.