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Finding the Fourth Proportional to 9,636.01, 14,452.73 and 2,616.50

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Solution

The fourth proportional to 9,636.01, 14,452.73 and 2,616.50 is: 3,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.01 : 14,452.73 = 2,616.50 : x
  2. Step 2: Convert to fraction form
    9,636.01/14,452.73 = 2,616.50/x
  3. Step 3: Cross multiply
    9,636.01x = 14,452.73 × 2,616.50
  4. Step 4: Simplify right side
    9,636.01x = 37,815,600.91
  5. Step 5: Solve for x
    x = 37,815,600.91/9,636.01
  6. Step 6: Final answer
    x = 3,924.40

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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.