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Finding the Fourth Proportional to 9,766.17, 13,464.63 and 6,223.23

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Solution

The fourth proportional to 9,766.17, 13,464.63 and 6,223.23 is: 8,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.17 : 13,464.63 = 6,223.23 : x
  2. Step 2: Convert to fraction form
    9,766.17/13,464.63 = 6,223.23/x
  3. Step 3: Cross multiply
    9,766.17x = 13,464.63 × 6,223.23
  4. Step 4: Simplify right side
    9,766.17x = 83,793,489.35
  5. Step 5: Solve for x
    x = 83,793,489.35/9,766.17
  6. Step 6: Final answer
    x = 8,579.97

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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.