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Finding the Fourth Proportional to 9,626.76, 14,418.18 and 8,664.48

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Solution

The fourth proportional to 9,626.76, 14,418.18 and 8,664.48 is: 12,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.76 : 14,418.18 = 8,664.48 : x
  2. Step 2: Convert to fraction form
    9,626.76/14,418.18 = 8,664.48/x
  3. Step 3: Cross multiply
    9,626.76x = 14,418.18 × 8,664.48
  4. Step 4: Simplify right side
    9,626.76x = 124,926,032.25
  5. Step 5: Solve for x
    x = 124,926,032.25/9,626.76
  6. Step 6: Final answer
    x = 12,976.96

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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.