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Finding the Fourth Proportional to 6,107.84, 9,147.28 and 3,909.76

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Solution

The fourth proportional to 6,107.84, 9,147.28 and 3,909.76 is: 5,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.84 : 9,147.28 = 3,909.76 : x
  2. Step 2: Convert to fraction form
    6,107.84/9,147.28 = 3,909.76/x
  3. Step 3: Cross multiply
    6,107.84x = 9,147.28 × 3,909.76
  4. Step 4: Simplify right side
    6,107.84x = 35,763,669.45
  5. Step 5: Solve for x
    x = 35,763,669.45/6,107.84
  6. Step 6: Final answer
    x = 5,855.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.