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Finding the Fourth Proportional to 9,885.69, 14,834.39 and 3,650.05

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Solution

The fourth proportional to 9,885.69, 14,834.39 and 3,650.05 is: 5,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.69 : 14,834.39 = 3,650.05 : x
  2. Step 2: Convert to fraction form
    9,885.69/14,834.39 = 3,650.05/x
  3. Step 3: Cross multiply
    9,885.69x = 14,834.39 × 3,650.05
  4. Step 4: Simplify right side
    9,885.69x = 54,146,265.22
  5. Step 5: Solve for x
    x = 54,146,265.22/9,885.69
  6. Step 6: Final answer
    x = 5,477.24

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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.