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Finding the Fourth Proportional to 6,977.88, 9,629.54 and 3,834.14

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Solution

The fourth proportional to 6,977.88, 9,629.54 and 3,834.14 is: 5,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.88 : 9,629.54 = 3,834.14 : x
  2. Step 2: Convert to fraction form
    6,977.88/9,629.54 = 3,834.14/x
  3. Step 3: Cross multiply
    6,977.88x = 9,629.54 × 3,834.14
  4. Step 4: Simplify right side
    6,977.88x = 36,921,004.50
  5. Step 5: Solve for x
    x = 36,921,004.50/6,977.88
  6. Step 6: Final answer
    x = 5,291.15

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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.