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Finding the Fourth Proportional to 6,189.42, 9,287.16 and 3,069.72

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Solution

The fourth proportional to 6,189.42, 9,287.16 and 3,069.72 is: 4,606.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.42 : 9,287.16 = 3,069.72 : x
  2. Step 2: Convert to fraction form
    6,189.42/9,287.16 = 3,069.72/x
  3. Step 3: Cross multiply
    6,189.42x = 9,287.16 × 3,069.72
  4. Step 4: Simplify right side
    6,189.42x = 28,508,980.80
  5. Step 5: Solve for x
    x = 28,508,980.80/6,189.42
  6. Step 6: Final answer
    x = 4,606.08

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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.