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Finding the Fourth Proportional to 6,194.04, 9,291.60 and 3,077.16

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Solution

The fourth proportional to 6,194.04, 9,291.60 and 3,077.16 is: 4,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.04 : 9,291.60 = 3,077.16 : x
  2. Step 2: Convert to fraction form
    6,194.04/9,291.60 = 3,077.16/x
  3. Step 3: Cross multiply
    6,194.04x = 9,291.60 × 3,077.16
  4. Step 4: Simplify right side
    6,194.04x = 28,591,739.86
  5. Step 5: Solve for x
    x = 28,591,739.86/6,194.04
  6. Step 6: Final answer
    x = 4,616.01

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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.