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Finding the Fourth Proportional to 6,678.28, 9,214.86 and 4,159.59

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Solution

The fourth proportional to 6,678.28, 9,214.86 and 4,159.59 is: 5,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.28 : 9,214.86 = 4,159.59 : x
  2. Step 2: Convert to fraction form
    6,678.28/9,214.86 = 4,159.59/x
  3. Step 3: Cross multiply
    6,678.28x = 9,214.86 × 4,159.59
  4. Step 4: Simplify right side
    6,678.28x = 38,330,039.51
  5. Step 5: Solve for x
    x = 38,330,039.51/6,678.28
  6. Step 6: Final answer
    x = 5,739.51

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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.