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Finding the Fourth Proportional to 6,813.19, 9,402.12 and 3,829.53

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Solution

The fourth proportional to 6,813.19, 9,402.12 and 3,829.53 is: 5,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.19 : 9,402.12 = 3,829.53 : x
  2. Step 2: Convert to fraction form
    6,813.19/9,402.12 = 3,829.53/x
  3. Step 3: Cross multiply
    6,813.19x = 9,402.12 × 3,829.53
  4. Step 4: Simplify right side
    6,813.19x = 36,005,700.60
  5. Step 5: Solve for x
    x = 36,005,700.60/6,813.19
  6. Step 6: Final answer
    x = 5,284.71

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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.