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Finding the Fourth Proportional to 6,834.53, 9,434.00 and 4,002.81

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Solution

The fourth proportional to 6,834.53, 9,434.00 and 4,002.81 is: 5,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.53 : 9,434.00 = 4,002.81 : x
  2. Step 2: Convert to fraction form
    6,834.53/9,434.00 = 4,002.81/x
  3. Step 3: Cross multiply
    6,834.53x = 9,434.00 × 4,002.81
  4. Step 4: Simplify right side
    6,834.53x = 37,762,489.53
  5. Step 5: Solve for x
    x = 37,762,489.53/6,834.53
  6. Step 6: Final answer
    x = 5,525.25

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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.