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Finding the Fourth Proportional to 6,771.84, 9,345.27 and 4,119.19

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Solution

The fourth proportional to 6,771.84, 9,345.27 and 4,119.19 is: 5,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.84 : 9,345.27 = 4,119.19 : x
  2. Step 2: Convert to fraction form
    6,771.84/9,345.27 = 4,119.19/x
  3. Step 3: Cross multiply
    6,771.84x = 9,345.27 × 4,119.19
  4. Step 4: Simplify right side
    6,771.84x = 38,494,934.82
  5. Step 5: Solve for x
    x = 38,494,934.82/6,771.84
  6. Step 6: Final answer
    x = 5,684.56

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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.