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Finding the Fourth Proportional to 6,078.29, 9,101.66 and 5,206.40

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Solution

The fourth proportional to 6,078.29, 9,101.66 and 5,206.40 is: 7,796.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.29 : 9,101.66 = 5,206.40 : x
  2. Step 2: Convert to fraction form
    6,078.29/9,101.66 = 5,206.40/x
  3. Step 3: Cross multiply
    6,078.29x = 9,101.66 × 5,206.40
  4. Step 4: Simplify right side
    6,078.29x = 47,386,845.21
  5. Step 5: Solve for x
    x = 47,386,845.21/6,078.29
  6. Step 6: Final answer
    x = 7,796.09

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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.