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Finding the Fourth Proportional to 9,766.81, 14,652.39 and 5,382.01

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Solution

The fourth proportional to 9,766.81, 14,652.39 and 5,382.01 is: 8,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.81 : 14,652.39 = 5,382.01 : x
  2. Step 2: Convert to fraction form
    9,766.81/14,652.39 = 5,382.01/x
  3. Step 3: Cross multiply
    9,766.81x = 14,652.39 × 5,382.01
  4. Step 4: Simplify right side
    9,766.81x = 78,859,309.50
  5. Step 5: Solve for x
    x = 78,859,309.50/9,766.81
  6. Step 6: Final answer
    x = 8,074.21

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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.