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Finding the Fourth Proportional to 9,648.67, 14,473.12 and 3,404.30

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Solution

The fourth proportional to 9,648.67, 14,473.12 and 3,404.30 is: 5,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.67 : 14,473.12 = 3,404.30 : x
  2. Step 2: Convert to fraction form
    9,648.67/14,473.12 = 3,404.30/x
  3. Step 3: Cross multiply
    9,648.67x = 14,473.12 × 3,404.30
  4. Step 4: Simplify right side
    9,648.67x = 49,270,849.33
  5. Step 5: Solve for x
    x = 49,270,849.33/9,648.67
  6. Step 6: Final answer
    x = 5,106.49

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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.