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Finding the Fourth Proportional to 8,737.83, 13,095.07 and 3,185.96

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Solution

The fourth proportional to 8,737.83, 13,095.07 and 3,185.96 is: 4,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.83 : 13,095.07 = 3,185.96 : x
  2. Step 2: Convert to fraction form
    8,737.83/13,095.07 = 3,185.96/x
  3. Step 3: Cross multiply
    8,737.83x = 13,095.07 × 3,185.96
  4. Step 4: Simplify right side
    8,737.83x = 41,720,369.22
  5. Step 5: Solve for x
    x = 41,720,369.22/8,737.83
  6. Step 6: Final answer
    x = 4,774.68

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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.