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Finding the Fourth Proportional to 6,078.21, 9,120.84 and 3,305.16

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Solution

The fourth proportional to 6,078.21, 9,120.84 and 3,305.16 is: 4,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.21 : 9,120.84 = 3,305.16 : x
  2. Step 2: Convert to fraction form
    6,078.21/9,120.84 = 3,305.16/x
  3. Step 3: Cross multiply
    6,078.21x = 9,120.84 × 3,305.16
  4. Step 4: Simplify right side
    6,078.21x = 30,145,835.53
  5. Step 5: Solve for x
    x = 30,145,835.53/6,078.21
  6. Step 6: Final answer
    x = 4,959.66

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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.