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Finding the Fourth Proportional to 9,614.02, 13,267.31 and 5,198.02

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Solution

The fourth proportional to 9,614.02, 13,267.31 and 5,198.02 is: 7,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.02 : 13,267.31 = 5,198.02 : x
  2. Step 2: Convert to fraction form
    9,614.02/13,267.31 = 5,198.02/x
  3. Step 3: Cross multiply
    9,614.02x = 13,267.31 × 5,198.02
  4. Step 4: Simplify right side
    9,614.02x = 68,963,742.73
  5. Step 5: Solve for x
    x = 68,963,742.73/9,614.02
  6. Step 6: Final answer
    x = 7,173.25

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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.