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Finding the Fourth Proportional to 9,611.55, 14,321.78 and 8,563.50

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Solution

The fourth proportional to 9,611.55, 14,321.78 and 8,563.50 is: 12,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.55 : 14,321.78 = 8,563.50 : x
  2. Step 2: Convert to fraction form
    9,611.55/14,321.78 = 8,563.50/x
  3. Step 3: Cross multiply
    9,611.55x = 14,321.78 × 8,563.50
  4. Step 4: Simplify right side
    9,611.55x = 122,644,563.03
  5. Step 5: Solve for x
    x = 122,644,563.03/9,611.55
  6. Step 6: Final answer
    x = 12,760.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.