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Finding the Fourth Proportional to 9,564.38, 13,166.08 and 8,297.99

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Solution

The fourth proportional to 9,564.38, 13,166.08 and 8,297.99 is: 11,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.38 : 13,166.08 = 8,297.99 : x
  2. Step 2: Convert to fraction form
    9,564.38/13,166.08 = 8,297.99/x
  3. Step 3: Cross multiply
    9,564.38x = 13,166.08 × 8,297.99
  4. Step 4: Simplify right side
    9,564.38x = 109,252,000.18
  5. Step 5: Solve for x
    x = 109,252,000.18/9,564.38
  6. Step 6: Final answer
    x = 11,422.80

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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.