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Finding the Fourth Proportional to 6,078.17, 9,101.48 and 5,206.27

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Solution

The fourth proportional to 6,078.17, 9,101.48 and 5,206.27 is: 7,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.17 : 9,101.48 = 5,206.27 : x
  2. Step 2: Convert to fraction form
    6,078.17/9,101.48 = 5,206.27/x
  3. Step 3: Cross multiply
    6,078.17x = 9,101.48 × 5,206.27
  4. Step 4: Simplify right side
    6,078.17x = 47,384,752.54
  5. Step 5: Solve for x
    x = 47,384,752.54/6,078.17
  6. Step 6: Final answer
    x = 7,795.89

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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.