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Finding the Fourth Proportional to 6,839.70, 9,415.08 and 5,898.62

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Solution

The fourth proportional to 6,839.70, 9,415.08 and 5,898.62 is: 8,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.70 : 9,415.08 = 5,898.62 : x
  2. Step 2: Convert to fraction form
    6,839.70/9,415.08 = 5,898.62/x
  3. Step 3: Cross multiply
    6,839.70x = 9,415.08 × 5,898.62
  4. Step 4: Simplify right side
    6,839.70x = 55,535,979.19
  5. Step 5: Solve for x
    x = 55,535,979.19/6,839.70
  6. Step 6: Final answer
    x = 8,119.65

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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.