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Finding the Fourth Proportional to 6,834.54, 9,431.19 and 4,039.50

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Solution

The fourth proportional to 6,834.54, 9,431.19 and 4,039.50 is: 5,574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.54 : 9,431.19 = 4,039.50 : x
  2. Step 2: Convert to fraction form
    6,834.54/9,431.19 = 4,039.50/x
  3. Step 3: Cross multiply
    6,834.54x = 9,431.19 × 4,039.50
  4. Step 4: Simplify right side
    6,834.54x = 38,097,292.01
  5. Step 5: Solve for x
    x = 38,097,292.01/6,834.54
  6. Step 6: Final answer
    x = 5,574.23

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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.