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Finding the Fourth Proportional to 9,167.44, 12,653.40 and 5,812.24

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Solution

The fourth proportional to 9,167.44, 12,653.40 and 5,812.24 is: 8,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.44 : 12,653.40 = 5,812.24 : x
  2. Step 2: Convert to fraction form
    9,167.44/12,653.40 = 5,812.24/x
  3. Step 3: Cross multiply
    9,167.44x = 12,653.40 × 5,812.24
  4. Step 4: Simplify right side
    9,167.44x = 73,544,597.62
  5. Step 5: Solve for x
    x = 73,544,597.62/9,167.44
  6. Step 6: Final answer
    x = 8,022.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.