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Finding the Fourth Proportional to 9,353, 14,033.52 and 3,508.88

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Solution

The fourth proportional to 9,353, 14,033.52 and 3,508.88 is: 5,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,353 : 14,033.52 = 3,508.88 : x
  2. Step 2: Convert to fraction form
    9,353/14,033.52 = 3,508.88/x
  3. Step 3: Cross multiply
    9,353x = 14,033.52 × 3,508.88
  4. Step 4: Simplify right side
    9,353x = 49,241,937.66
  5. Step 5: Solve for x
    x = 49,241,937.66/9,353
  6. Step 6: Final answer
    x = 5,264.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.