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Finding the Fourth Proportional to 9,209.74, 13,811.64 and 3,662.08

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Solution

The fourth proportional to 9,209.74, 13,811.64 and 3,662.08 is: 5,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.74 : 13,811.64 = 3,662.08 : x
  2. Step 2: Convert to fraction form
    9,209.74/13,811.64 = 3,662.08/x
  3. Step 3: Cross multiply
    9,209.74x = 13,811.64 × 3,662.08
  4. Step 4: Simplify right side
    9,209.74x = 50,579,330.61
  5. Step 5: Solve for x
    x = 50,579,330.61/9,209.74
  6. Step 6: Final answer
    x = 5,491.94

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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.