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Finding the Fourth Proportional to 9,114.87, 12,576.98 and 5,080.81

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Solution

The fourth proportional to 9,114.87, 12,576.98 and 5,080.81 is: 7,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.87 : 12,576.98 = 5,080.81 : x
  2. Step 2: Convert to fraction form
    9,114.87/12,576.98 = 5,080.81/x
  3. Step 3: Cross multiply
    9,114.87x = 12,576.98 × 5,080.81
  4. Step 4: Simplify right side
    9,114.87x = 63,901,245.75
  5. Step 5: Solve for x
    x = 63,901,245.75/9,114.87
  6. Step 6: Final answer
    x = 7,010.66

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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.