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Finding the Fourth Proportional to 9,166.86, 13,751.91 and 3,904.29

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Solution

The fourth proportional to 9,166.86, 13,751.91 and 3,904.29 is: 5,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.86 : 13,751.91 = 3,904.29 : x
  2. Step 2: Convert to fraction form
    9,166.86/13,751.91 = 3,904.29/x
  3. Step 3: Cross multiply
    9,166.86x = 13,751.91 × 3,904.29
  4. Step 4: Simplify right side
    9,166.86x = 53,691,444.69
  5. Step 5: Solve for x
    x = 53,691,444.69/9,166.86
  6. Step 6: Final answer
    x = 5,857.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.