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Finding the Fourth Proportional to 9,604.00, 14,402.66 and 3,363.87

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Solution

The fourth proportional to 9,604.00, 14,402.66 and 3,363.87 is: 5,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.00 : 14,402.66 = 3,363.87 : x
  2. Step 2: Convert to fraction form
    9,604.00/14,402.66 = 3,363.87/x
  3. Step 3: Cross multiply
    9,604.00x = 14,402.66 × 3,363.87
  4. Step 4: Simplify right side
    9,604.00x = 48,448,684.30
  5. Step 5: Solve for x
    x = 48,448,684.30/9,604.00
  6. Step 6: Final answer
    x = 5,044.64

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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.