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Finding the Fourth Proportional to 6,190.86, 9,287.10 and 3,269.28

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Solution

The fourth proportional to 6,190.86, 9,287.10 and 3,269.28 is: 4,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.86 : 9,287.10 = 3,269.28 : x
  2. Step 2: Convert to fraction form
    6,190.86/9,287.10 = 3,269.28/x
  3. Step 3: Cross multiply
    6,190.86x = 9,287.10 × 3,269.28
  4. Step 4: Simplify right side
    6,190.86x = 30,362,130.29
  5. Step 5: Solve for x
    x = 30,362,130.29/6,190.86
  6. Step 6: Final answer
    x = 4,904.35

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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.