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Finding the Fourth Proportional to 9,805.02, 13,530.13 and 5,771.22

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Solution

The fourth proportional to 9,805.02, 13,530.13 and 5,771.22 is: 7,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.02 : 13,530.13 = 5,771.22 : x
  2. Step 2: Convert to fraction form
    9,805.02/13,530.13 = 5,771.22/x
  3. Step 3: Cross multiply
    9,805.02x = 13,530.13 × 5,771.22
  4. Step 4: Simplify right side
    9,805.02x = 78,085,356.86
  5. Step 5: Solve for x
    x = 78,085,356.86/9,805.02
  6. Step 6: Final answer
    x = 7,963.81

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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.