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Finding the Fourth Proportional to 9,335.39, 12,874.18 and 6,813.50

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Solution

The fourth proportional to 9,335.39, 12,874.18 and 6,813.50 is: 9,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.39 : 12,874.18 = 6,813.50 : x
  2. Step 2: Convert to fraction form
    9,335.39/12,874.18 = 6,813.50/x
  3. Step 3: Cross multiply
    9,335.39x = 12,874.18 × 6,813.50
  4. Step 4: Simplify right side
    9,335.39x = 87,718,240.58
  5. Step 5: Solve for x
    x = 87,718,240.58/9,335.39
  6. Step 6: Final answer
    x = 9,396.31

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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.