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Finding the Fourth Proportional to 6,107.28, 9,160.56 and 5,943.12

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Solution

The fourth proportional to 6,107.28, 9,160.56 and 5,943.12 is: 8,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.28 : 9,160.56 = 5,943.12 : x
  2. Step 2: Convert to fraction form
    6,107.28/9,160.56 = 5,943.12/x
  3. Step 3: Cross multiply
    6,107.28x = 9,160.56 × 5,943.12
  4. Step 4: Simplify right side
    6,107.28x = 54,442,307.35
  5. Step 5: Solve for x
    x = 54,442,307.35/6,107.28
  6. Step 6: Final answer
    x = 8,914.33

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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.