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Finding the Fourth Proportional to 8,836.78, 12,194.36 and 4,857.64

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Solution

The fourth proportional to 8,836.78, 12,194.36 and 4,857.64 is: 6,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836.78 : 12,194.36 = 4,857.64 : x
  2. Step 2: Convert to fraction form
    8,836.78/12,194.36 = 4,857.64/x
  3. Step 3: Cross multiply
    8,836.78x = 12,194.36 × 4,857.64
  4. Step 4: Simplify right side
    8,836.78x = 59,235,810.91
  5. Step 5: Solve for x
    x = 59,235,810.91/8,836.78
  6. Step 6: Final answer
    x = 6,703.33

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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.