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Finding the Fourth Proportional to 9,261.30, 13,893.94 and 5,314.38

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Solution

The fourth proportional to 9,261.30, 13,893.94 and 5,314.38 is: 7,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.30 : 13,893.94 = 5,314.38 : x
  2. Step 2: Convert to fraction form
    9,261.30/13,893.94 = 5,314.38/x
  3. Step 3: Cross multiply
    9,261.30x = 13,893.94 × 5,314.38
  4. Step 4: Simplify right side
    9,261.30x = 73,837,676.86
  5. Step 5: Solve for x
    x = 73,837,676.86/9,261.30
  6. Step 6: Final answer
    x = 7,972.71

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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.