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Finding the Fourth Proportional to 6,078.62, 9,102.14 and 5,206.72

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Solution

The fourth proportional to 6,078.62, 9,102.14 and 5,206.72 is: 7,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.62 : 9,102.14 = 5,206.72 : x
  2. Step 2: Convert to fraction form
    6,078.62/9,102.14 = 5,206.72/x
  3. Step 3: Cross multiply
    6,078.62x = 9,102.14 × 5,206.72
  4. Step 4: Simplify right side
    6,078.62x = 47,392,294.38
  5. Step 5: Solve for x
    x = 47,392,294.38/6,078.62
  6. Step 6: Final answer
    x = 7,796.55

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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.