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Finding the Fourth Proportional to 9,083.86, 13,625.80 and 3,886.10

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Solution

The fourth proportional to 9,083.86, 13,625.80 and 3,886.10 is: 5,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.86 : 13,625.80 = 3,886.10 : x
  2. Step 2: Convert to fraction form
    9,083.86/13,625.80 = 3,886.10/x
  3. Step 3: Cross multiply
    9,083.86x = 13,625.80 × 3,886.10
  4. Step 4: Simplify right side
    9,083.86x = 52,951,221.38
  5. Step 5: Solve for x
    x = 52,951,221.38/9,083.86
  6. Step 6: Final answer
    x = 5,829.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.