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Finding the Fourth Proportional to 9,272.86, 12,796.59 and 5,081.14

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Solution

The fourth proportional to 9,272.86, 12,796.59 and 5,081.14 is: 7,012.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.86 : 12,796.59 = 5,081.14 : x
  2. Step 2: Convert to fraction form
    9,272.86/12,796.59 = 5,081.14/x
  3. Step 3: Cross multiply
    9,272.86x = 12,796.59 × 5,081.14
  4. Step 4: Simplify right side
    9,272.86x = 65,021,265.31
  5. Step 5: Solve for x
    x = 65,021,265.31/9,272.86
  6. Step 6: Final answer
    x = 7,012.00

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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.