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Finding the Fourth Proportional to 6,469.59, 9,705.62 and 2,085.87

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Solution

The fourth proportional to 6,469.59, 9,705.62 and 2,085.87 is: 3,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.59 : 9,705.62 = 2,085.87 : x
  2. Step 2: Convert to fraction form
    6,469.59/9,705.62 = 2,085.87/x
  3. Step 3: Cross multiply
    6,469.59x = 9,705.62 × 2,085.87
  4. Step 4: Simplify right side
    6,469.59x = 20,244,661.59
  5. Step 5: Solve for x
    x = 20,244,661.59/6,469.59
  6. Step 6: Final answer
    x = 3,129.20

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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.