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Finding the Fourth Proportional to 9,493.92, 14,230 and 3,647.52

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Solution

The fourth proportional to 9,493.92, 14,230 and 3,647.52 is: 5,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.92 : 14,230 = 3,647.52 : x
  2. Step 2: Convert to fraction form
    9,493.92/14,230 = 3,647.52/x
  3. Step 3: Cross multiply
    9,493.92x = 14,230 × 3,647.52
  4. Step 4: Simplify right side
    9,493.92x = 51,904,209.60
  5. Step 5: Solve for x
    x = 51,904,209.60/9,493.92
  6. Step 6: Final answer
    x = 5,467.10

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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.