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Finding the Fourth Proportional to 6,827.45, 9,421.94 and 3,844.36

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Solution

The fourth proportional to 6,827.45, 9,421.94 and 3,844.36 is: 5,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.45 : 9,421.94 = 3,844.36 : x
  2. Step 2: Convert to fraction form
    6,827.45/9,421.94 = 3,844.36/x
  3. Step 3: Cross multiply
    6,827.45x = 9,421.94 × 3,844.36
  4. Step 4: Simplify right side
    6,827.45x = 36,221,262.93
  5. Step 5: Solve for x
    x = 36,221,262.93/6,827.45
  6. Step 6: Final answer
    x = 5,305.24

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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.