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Finding the Fourth Proportional to 6,827.56, 9,421.86 and 3,843.36

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Solution

The fourth proportional to 6,827.56, 9,421.86 and 3,843.36 is: 5,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.56 : 9,421.86 = 3,843.36 : x
  2. Step 2: Convert to fraction form
    6,827.56/9,421.86 = 3,843.36/x
  3. Step 3: Cross multiply
    6,827.56x = 9,421.86 × 3,843.36
  4. Step 4: Simplify right side
    6,827.56x = 36,211,614.26
  5. Step 5: Solve for x
    x = 36,211,614.26/6,827.56
  6. Step 6: Final answer
    x = 5,303.74

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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.