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Finding the Fourth Proportional to 9,404.10, 14,101.62 and 3,477

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Solution

The fourth proportional to 9,404.10, 14,101.62 and 3,477 is: 5,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.10 : 14,101.62 = 3,477 : x
  2. Step 2: Convert to fraction form
    9,404.10/14,101.62 = 3,477/x
  3. Step 3: Cross multiply
    9,404.10x = 14,101.62 × 3,477
  4. Step 4: Simplify right side
    9,404.10x = 49,031,332.74
  5. Step 5: Solve for x
    x = 49,031,332.74/9,404.10
  6. Step 6: Final answer
    x = 5,213.83

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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.