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Finding the Fourth Proportional to 9,509.40, 13,144.68 and 8,786.88

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Solution

The fourth proportional to 9,509.40, 13,144.68 and 8,786.88 is: 12,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.40 : 13,144.68 = 8,786.88 : x
  2. Step 2: Convert to fraction form
    9,509.40/13,144.68 = 8,786.88/x
  3. Step 3: Cross multiply
    9,509.40x = 13,144.68 × 8,786.88
  4. Step 4: Simplify right side
    9,509.40x = 115,500,725.80
  5. Step 5: Solve for x
    x = 115,500,725.80/9,509.40
  6. Step 6: Final answer
    x = 12,145.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.