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Finding the Fourth Proportional to 9,134.64, 12,611.76 and 5,599.80

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Solution

The fourth proportional to 9,134.64, 12,611.76 and 5,599.80 is: 7,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.64 : 12,611.76 = 5,599.80 : x
  2. Step 2: Convert to fraction form
    9,134.64/12,611.76 = 5,599.80/x
  3. Step 3: Cross multiply
    9,134.64x = 12,611.76 × 5,599.80
  4. Step 4: Simplify right side
    9,134.64x = 70,623,333.65
  5. Step 5: Solve for x
    x = 70,623,333.65/9,134.64
  6. Step 6: Final answer
    x = 7,731.38

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Why These Related Problems?

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