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Finding the Fourth Proportional to 9,494.82, 14,234.13 and 3,655.53

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Solution

The fourth proportional to 9,494.82, 14,234.13 and 3,655.53 is: 5,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.82 : 14,234.13 = 3,655.53 : x
  2. Step 2: Convert to fraction form
    9,494.82/14,234.13 = 3,655.53/x
  3. Step 3: Cross multiply
    9,494.82x = 14,234.13 × 3,655.53
  4. Step 4: Simplify right side
    9,494.82x = 52,033,289.24
  5. Step 5: Solve for x
    x = 52,033,289.24/9,494.82
  6. Step 6: Final answer
    x = 5,480.18

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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.