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Finding the Fourth Proportional to 6,678.62, 9,216.59 and 4,161.75

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Solution

The fourth proportional to 6,678.62, 9,216.59 and 4,161.75 is: 5,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.62 : 9,216.59 = 4,161.75 : x
  2. Step 2: Convert to fraction form
    6,678.62/9,216.59 = 4,161.75/x
  3. Step 3: Cross multiply
    6,678.62x = 9,216.59 × 4,161.75
  4. Step 4: Simplify right side
    6,678.62x = 38,357,088.06
  5. Step 5: Solve for x
    x = 38,357,088.06/6,678.62
  6. Step 6: Final answer
    x = 5,743.27

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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.