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Finding the Fourth Proportional to 6,487.26, 9,722.64 and 2,785.08

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Solution

The fourth proportional to 6,487.26, 9,722.64 and 2,785.08 is: 4,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.26 : 9,722.64 = 2,785.08 : x
  2. Step 2: Convert to fraction form
    6,487.26/9,722.64 = 2,785.08/x
  3. Step 3: Cross multiply
    6,487.26x = 9,722.64 × 2,785.08
  4. Step 4: Simplify right side
    6,487.26x = 27,078,330.21
  5. Step 5: Solve for x
    x = 27,078,330.21/6,487.26
  6. Step 6: Final answer
    x = 4,174.08

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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.