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Finding the Fourth Proportional to 6,188.10, 9,260.55 and 5,669.70

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Solution

The fourth proportional to 6,188.10, 9,260.55 and 5,669.70 is: 8,484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.10 : 9,260.55 = 5,669.70 : x
  2. Step 2: Convert to fraction form
    6,188.10/9,260.55 = 5,669.70/x
  3. Step 3: Cross multiply
    6,188.10x = 9,260.55 × 5,669.70
  4. Step 4: Simplify right side
    6,188.10x = 52,504,540.34
  5. Step 5: Solve for x
    x = 52,504,540.34/6,188.10
  6. Step 6: Final answer
    x = 8,484.76

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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.