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Finding the Fourth Proportional to 9,716.13, 14,578.81 and 5,035.27

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Solution

The fourth proportional to 9,716.13, 14,578.81 and 5,035.27 is: 7,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.13 : 14,578.81 = 5,035.27 : x
  2. Step 2: Convert to fraction form
    9,716.13/14,578.81 = 5,035.27/x
  3. Step 3: Cross multiply
    9,716.13x = 14,578.81 × 5,035.27
  4. Step 4: Simplify right side
    9,716.13x = 73,408,244.63
  5. Step 5: Solve for x
    x = 73,408,244.63/9,716.13
  6. Step 6: Final answer
    x = 7,555.30

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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.