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Finding the Fourth Proportional to 9,766.96, 14,646.11 and 5,323.29

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Solution

The fourth proportional to 9,766.96, 14,646.11 and 5,323.29 is: 7,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.96 : 14,646.11 = 5,323.29 : x
  2. Step 2: Convert to fraction form
    9,766.96/14,646.11 = 5,323.29/x
  3. Step 3: Cross multiply
    9,766.96x = 14,646.11 × 5,323.29
  4. Step 4: Simplify right side
    9,766.96x = 77,965,550.72
  5. Step 5: Solve for x
    x = 77,965,550.72/9,766.96
  6. Step 6: Final answer
    x = 7,982.58

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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.