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Finding the Fourth Proportional to 9,271.50, 12,794.94 and 5,080.02

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Solution

The fourth proportional to 9,271.50, 12,794.94 and 5,080.02 is: 7,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.50 : 12,794.94 = 5,080.02 : x
  2. Step 2: Convert to fraction form
    9,271.50/12,794.94 = 5,080.02/x
  3. Step 3: Cross multiply
    9,271.50x = 12,794.94 × 5,080.02
  4. Step 4: Simplify right side
    9,271.50x = 64,998,551.10
  5. Step 5: Solve for x
    x = 64,998,551.10/9,271.50
  6. Step 6: Final answer
    x = 7,010.58

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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.