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Finding the Fourth Proportional to 9,611.66, 14,416.68 and 3,286.00

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Solution

The fourth proportional to 9,611.66, 14,416.68 and 3,286.00 is: 4,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.66 : 14,416.68 = 3,286.00 : x
  2. Step 2: Convert to fraction form
    9,611.66/14,416.68 = 3,286.00/x
  3. Step 3: Cross multiply
    9,611.66x = 14,416.68 × 3,286.00
  4. Step 4: Simplify right side
    9,611.66x = 47,373,240.82
  5. Step 5: Solve for x
    x = 47,373,240.82/9,611.66
  6. Step 6: Final answer
    x = 4,928.72

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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.