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Finding the Fourth Proportional to 9,716.66, 14,580.91 and 3,872.81

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Solution

The fourth proportional to 9,716.66, 14,580.91 and 3,872.81 is: 5,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.66 : 14,580.91 = 3,872.81 : x
  2. Step 2: Convert to fraction form
    9,716.66/14,580.91 = 3,872.81/x
  3. Step 3: Cross multiply
    9,716.66x = 14,580.91 × 3,872.81
  4. Step 4: Simplify right side
    9,716.66x = 56,469,135.35
  5. Step 5: Solve for x
    x = 56,469,135.35/9,716.66
  6. Step 6: Final answer
    x = 5,811.58

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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.