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Finding the Fourth Proportional to 6,078.42, 9,134.72 and 3,613.68

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Solution

The fourth proportional to 6,078.42, 9,134.72 and 3,613.68 is: 5,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.42 : 9,134.72 = 3,613.68 : x
  2. Step 2: Convert to fraction form
    6,078.42/9,134.72 = 3,613.68/x
  3. Step 3: Cross multiply
    6,078.42x = 9,134.72 × 3,613.68
  4. Step 4: Simplify right side
    6,078.42x = 33,009,954.97
  5. Step 5: Solve for x
    x = 33,009,954.97/6,078.42
  6. Step 6: Final answer
    x = 5,430.68

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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.