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Finding the Fourth Proportional to 6,963.47, 9,610.19 and 3,820.26

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Solution

The fourth proportional to 6,963.47, 9,610.19 and 3,820.26 is: 5,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.47 : 9,610.19 = 3,820.26 : x
  2. Step 2: Convert to fraction form
    6,963.47/9,610.19 = 3,820.26/x
  3. Step 3: Cross multiply
    6,963.47x = 9,610.19 × 3,820.26
  4. Step 4: Simplify right side
    6,963.47x = 36,713,477.20
  5. Step 5: Solve for x
    x = 36,713,477.20/6,963.47
  6. Step 6: Final answer
    x = 5,272.30

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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.