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Finding the Fourth Proportional to 6,380.34, 9,569.98 and 4,033.50

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Solution

The fourth proportional to 6,380.34, 9,569.98 and 4,033.50 is: 6,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.34 : 9,569.98 = 4,033.50 : x
  2. Step 2: Convert to fraction form
    6,380.34/9,569.98 = 4,033.50/x
  3. Step 3: Cross multiply
    6,380.34x = 9,569.98 × 4,033.50
  4. Step 4: Simplify right side
    6,380.34x = 38,600,514.33
  5. Step 5: Solve for x
    x = 38,600,514.33/6,380.34
  6. Step 6: Final answer
    x = 6,049.91

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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.