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Finding the Fourth Proportional to 9,209.76, 13,814.70 and 2,284.32

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Solution

The fourth proportional to 9,209.76, 13,814.70 and 2,284.32 is: 3,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.76 : 13,814.70 = 2,284.32 : x
  2. Step 2: Convert to fraction form
    9,209.76/13,814.70 = 2,284.32/x
  3. Step 3: Cross multiply
    9,209.76x = 13,814.70 × 2,284.32
  4. Step 4: Simplify right side
    9,209.76x = 31,557,195.50
  5. Step 5: Solve for x
    x = 31,557,195.50/9,209.76
  6. Step 6: Final answer
    x = 3,426.49

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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.