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Finding the Fourth Proportional to 9,205.08, 13,808.08 and 2,632.24

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Solution

The fourth proportional to 9,205.08, 13,808.08 and 2,632.24 is: 3,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.08 : 13,808.08 = 2,632.24 : x
  2. Step 2: Convert to fraction form
    9,205.08/13,808.08 = 2,632.24/x
  3. Step 3: Cross multiply
    9,205.08x = 13,808.08 × 2,632.24
  4. Step 4: Simplify right side
    9,205.08x = 36,346,180.50
  5. Step 5: Solve for x
    x = 36,346,180.50/9,205.08
  6. Step 6: Final answer
    x = 3,948.49

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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.