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Finding the Fourth Proportional to 9,525.11, 13,223.83 and 9,239.99

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Solution

The fourth proportional to 9,525.11, 13,223.83 and 9,239.99 is: 12,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.11 : 13,223.83 = 9,239.99 : x
  2. Step 2: Convert to fraction form
    9,525.11/13,223.83 = 9,239.99/x
  3. Step 3: Cross multiply
    9,525.11x = 13,223.83 × 9,239.99
  4. Step 4: Simplify right side
    9,525.11x = 122,188,056.96
  5. Step 5: Solve for x
    x = 122,188,056.96/9,525.11
  6. Step 6: Final answer
    x = 12,827.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.