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Finding the Fourth Proportional to 6,834.06, 9,431.10 and 4,039.56

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Solution

The fourth proportional to 6,834.06, 9,431.10 and 4,039.56 is: 5,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.06 : 9,431.10 = 4,039.56 : x
  2. Step 2: Convert to fraction form
    6,834.06/9,431.10 = 4,039.56/x
  3. Step 3: Cross multiply
    6,834.06x = 9,431.10 × 4,039.56
  4. Step 4: Simplify right side
    6,834.06x = 38,097,494.32
  5. Step 5: Solve for x
    x = 38,097,494.32/6,834.06
  6. Step 6: Final answer
    x = 5,574.65

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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.