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Finding the Fourth Proportional to 6,829.17, 9,422.91 and 3,845.13

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Solution

The fourth proportional to 6,829.17, 9,422.91 and 3,845.13 is: 5,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.17 : 9,422.91 = 3,845.13 : x
  2. Step 2: Convert to fraction form
    6,829.17/9,422.91 = 3,845.13/x
  3. Step 3: Cross multiply
    6,829.17x = 9,422.91 × 3,845.13
  4. Step 4: Simplify right side
    6,829.17x = 36,232,313.93
  5. Step 5: Solve for x
    x = 36,232,313.93/6,829.17
  6. Step 6: Final answer
    x = 5,305.52

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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.