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Finding the Fourth Proportional to 9,272.74, 12,796.42 and 5,080.98

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Solution

The fourth proportional to 9,272.74, 12,796.42 and 5,080.98 is: 7,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.74 : 12,796.42 = 5,080.98 : x
  2. Step 2: Convert to fraction form
    9,272.74/12,796.42 = 5,080.98/x
  3. Step 3: Cross multiply
    9,272.74x = 12,796.42 × 5,080.98
  4. Step 4: Simplify right side
    9,272.74x = 65,018,354.09
  5. Step 5: Solve for x
    x = 65,018,354.09/9,272.74
  6. Step 6: Final answer
    x = 7,011.77

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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.