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Finding the Fourth Proportional to 6,348.96, 9,529.38 and 3,429.54

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Solution

The fourth proportional to 6,348.96, 9,529.38 and 3,429.54 is: 5,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.96 : 9,529.38 = 3,429.54 : x
  2. Step 2: Convert to fraction form
    6,348.96/9,529.38 = 3,429.54/x
  3. Step 3: Cross multiply
    6,348.96x = 9,529.38 × 3,429.54
  4. Step 4: Simplify right side
    6,348.96x = 32,681,389.89
  5. Step 5: Solve for x
    x = 32,681,389.89/6,348.96
  6. Step 6: Final answer
    x = 5,147.52

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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.