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Finding the Fourth Proportional to 9,216.62, 13,825.00 and 5,716.81

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Solution

The fourth proportional to 9,216.62, 13,825.00 and 5,716.81 is: 8,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.62 : 13,825.00 = 5,716.81 : x
  2. Step 2: Convert to fraction form
    9,216.62/13,825.00 = 5,716.81/x
  3. Step 3: Cross multiply
    9,216.62x = 13,825.00 × 5,716.81
  4. Step 4: Simplify right side
    9,216.62x = 79,034,938.76
  5. Step 5: Solve for x
    x = 79,034,938.76/9,216.62
  6. Step 6: Final answer
    x = 8,575.26

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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.