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Finding the Fourth Proportional to 9,464.14, 13,052.02 and 5,927.68

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Solution

The fourth proportional to 9,464.14, 13,052.02 and 5,927.68 is: 8,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.14 : 13,052.02 = 5,927.68 : x
  2. Step 2: Convert to fraction form
    9,464.14/13,052.02 = 5,927.68/x
  3. Step 3: Cross multiply
    9,464.14x = 13,052.02 × 5,927.68
  4. Step 4: Simplify right side
    9,464.14x = 77,368,103.02
  5. Step 5: Solve for x
    x = 77,368,103.02/9,464.14
  6. Step 6: Final answer
    x = 8,174.87

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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.