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Finding the Fourth Proportional to 7,165.06, 9,884.09 and 5,369.02

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Solution

The fourth proportional to 7,165.06, 9,884.09 and 5,369.02 is: 7,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.06 : 9,884.09 = 5,369.02 : x
  2. Step 2: Convert to fraction form
    7,165.06/9,884.09 = 5,369.02/x
  3. Step 3: Cross multiply
    7,165.06x = 9,884.09 × 5,369.02
  4. Step 4: Simplify right side
    7,165.06x = 53,067,865.60
  5. Step 5: Solve for x
    x = 53,067,865.60/7,165.06
  6. Step 6: Final answer
    x = 7,406.48

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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.