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Finding the Fourth Proportional to 6,078.16, 9,134.34 and 3,613.42

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Solution

The fourth proportional to 6,078.16, 9,134.34 and 3,613.42 is: 5,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.16 : 9,134.34 = 3,613.42 : x
  2. Step 2: Convert to fraction form
    6,078.16/9,134.34 = 3,613.42/x
  3. Step 3: Cross multiply
    6,078.16x = 9,134.34 × 3,613.42
  4. Step 4: Simplify right side
    6,078.16x = 33,006,206.84
  5. Step 5: Solve for x
    x = 33,006,206.84/6,078.16
  6. Step 6: Final answer
    x = 5,430.30

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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.