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Finding the Fourth Proportional to 6,934.49, 9,549.44 and 6,025.62

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Solution

The fourth proportional to 6,934.49, 9,549.44 and 6,025.62 is: 8,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.49 : 9,549.44 = 6,025.62 : x
  2. Step 2: Convert to fraction form
    6,934.49/9,549.44 = 6,025.62/x
  3. Step 3: Cross multiply
    6,934.49x = 9,549.44 × 6,025.62
  4. Step 4: Simplify right side
    6,934.49x = 57,541,259.92
  5. Step 5: Solve for x
    x = 57,541,259.92/6,934.49
  6. Step 6: Final answer
    x = 8,297.84

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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.