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Finding the Fourth Proportional to 9,209.56, 13,814.52 and 2,283.88

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Solution

The fourth proportional to 9,209.56, 13,814.52 and 2,283.88 is: 3,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.56 : 13,814.52 = 2,283.88 : x
  2. Step 2: Convert to fraction form
    9,209.56/13,814.52 = 2,283.88/x
  3. Step 3: Cross multiply
    9,209.56x = 13,814.52 × 2,283.88
  4. Step 4: Simplify right side
    9,209.56x = 31,550,625.45
  5. Step 5: Solve for x
    x = 31,550,625.45/9,209.56
  6. Step 6: Final answer
    x = 3,425.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.