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Finding the Fourth Proportional to 6,649.39, 9,171.81 and 4,095.84

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Solution

The fourth proportional to 6,649.39, 9,171.81 and 4,095.84 is: 5,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.39 : 9,171.81 = 4,095.84 : x
  2. Step 2: Convert to fraction form
    6,649.39/9,171.81 = 4,095.84/x
  3. Step 3: Cross multiply
    6,649.39x = 9,171.81 × 4,095.84
  4. Step 4: Simplify right side
    6,649.39x = 37,566,263.35
  5. Step 5: Solve for x
    x = 37,566,263.35/6,649.39
  6. Step 6: Final answer
    x = 5,649.58

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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.