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Finding the Fourth Proportional to 9,840.58, 13,550.97 and 8,792.26

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Solution

The fourth proportional to 9,840.58, 13,550.97 and 8,792.26 is: 12,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.58 : 13,550.97 = 8,792.26 : x
  2. Step 2: Convert to fraction form
    9,840.58/13,550.97 = 8,792.26/x
  3. Step 3: Cross multiply
    9,840.58x = 13,550.97 × 8,792.26
  4. Step 4: Simplify right side
    9,840.58x = 119,143,651.49
  5. Step 5: Solve for x
    x = 119,143,651.49/9,840.58
  6. Step 6: Final answer
    x = 12,107.38

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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.