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Finding the Fourth Proportional to 9,662.76, 14,489.46 and 4,726.62

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Solution

The fourth proportional to 9,662.76, 14,489.46 and 4,726.62 is: 7,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.76 : 14,489.46 = 4,726.62 : x
  2. Step 2: Convert to fraction form
    9,662.76/14,489.46 = 4,726.62/x
  3. Step 3: Cross multiply
    9,662.76x = 14,489.46 × 4,726.62
  4. Step 4: Simplify right side
    9,662.76x = 68,486,171.43
  5. Step 5: Solve for x
    x = 68,486,171.43/9,662.76
  6. Step 6: Final answer
    x = 7,087.64

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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.