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Finding the Fourth Proportional to 9,784.67, 13,504.32 and 6,250.23

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Solution

The fourth proportional to 9,784.67, 13,504.32 and 6,250.23 is: 8,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.67 : 13,504.32 = 6,250.23 : x
  2. Step 2: Convert to fraction form
    9,784.67/13,504.32 = 6,250.23/x
  3. Step 3: Cross multiply
    9,784.67x = 13,504.32 × 6,250.23
  4. Step 4: Simplify right side
    9,784.67x = 84,405,105.99
  5. Step 5: Solve for x
    x = 84,405,105.99/9,784.67
  6. Step 6: Final answer
    x = 8,626.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.