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Finding the Fourth Proportional to 6,281.34, 9,422 and 3,503.85

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Solution

The fourth proportional to 6,281.34, 9,422 and 3,503.85 is: 5,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.34 : 9,422 = 3,503.85 : x
  2. Step 2: Convert to fraction form
    6,281.34/9,422 = 3,503.85/x
  3. Step 3: Cross multiply
    6,281.34x = 9,422 × 3,503.85
  4. Step 4: Simplify right side
    6,281.34x = 33,013,274.70
  5. Step 5: Solve for x
    x = 33,013,274.70/6,281.34
  6. Step 6: Final answer
    x = 5,255.77

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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.