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Finding the Fourth Proportional to 6,963.97, 9,610.43 and 3,820.16

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Solution

The fourth proportional to 6,963.97, 9,610.43 and 3,820.16 is: 5,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.97 : 9,610.43 = 3,820.16 : x
  2. Step 2: Convert to fraction form
    6,963.97/9,610.43 = 3,820.16/x
  3. Step 3: Cross multiply
    6,963.97x = 9,610.43 × 3,820.16
  4. Step 4: Simplify right side
    6,963.97x = 36,713,332.22
  5. Step 5: Solve for x
    x = 36,713,332.22/6,963.97
  6. Step 6: Final answer
    x = 5,271.90

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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.