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Finding the Fourth Proportional to 9,766.88, 14,633.76 and 6,979.37

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Solution

The fourth proportional to 9,766.88, 14,633.76 and 6,979.37 is: 10,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.88 : 14,633.76 = 6,979.37 : x
  2. Step 2: Convert to fraction form
    9,766.88/14,633.76 = 6,979.37/x
  3. Step 3: Cross multiply
    9,766.88x = 14,633.76 × 6,979.37
  4. Step 4: Simplify right side
    9,766.88x = 102,134,378.54
  5. Step 5: Solve for x
    x = 102,134,378.54/9,766.88
  6. Step 6: Final answer
    x = 10,457.22

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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.