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Finding the Fourth Proportional to 6,786.69, 9,365.63 and 4,134.11

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Solution

The fourth proportional to 6,786.69, 9,365.63 and 4,134.11 is: 5,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.69 : 9,365.63 = 4,134.11 : x
  2. Step 2: Convert to fraction form
    6,786.69/9,365.63 = 4,134.11/x
  3. Step 3: Cross multiply
    6,786.69x = 9,365.63 × 4,134.11
  4. Step 4: Simplify right side
    6,786.69x = 38,718,477.14
  5. Step 5: Solve for x
    x = 38,718,477.14/6,786.69
  6. Step 6: Final answer
    x = 5,705.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.