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Finding the Fourth Proportional to 6,827.49, 9,421.95 and 3,843.35

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Solution

The fourth proportional to 6,827.49, 9,421.95 and 3,843.35 is: 5,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.49 : 9,421.95 = 3,843.35 : x
  2. Step 2: Convert to fraction form
    6,827.49/9,421.95 = 3,843.35/x
  3. Step 3: Cross multiply
    6,827.49x = 9,421.95 × 3,843.35
  4. Step 4: Simplify right side
    6,827.49x = 36,211,854.17
  5. Step 5: Solve for x
    x = 36,211,854.17/6,827.49
  6. Step 6: Final answer
    x = 5,303.83

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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.