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Finding the Fourth Proportional to 6,487.83, 9,737.90 and 4,015.17

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Solution

The fourth proportional to 6,487.83, 9,737.90 and 4,015.17 is: 6,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.83 : 9,737.90 = 4,015.17 : x
  2. Step 2: Convert to fraction form
    6,487.83/9,737.90 = 4,015.17/x
  3. Step 3: Cross multiply
    6,487.83x = 9,737.90 × 4,015.17
  4. Step 4: Simplify right side
    6,487.83x = 39,099,323.94
  5. Step 5: Solve for x
    x = 39,099,323.94/6,487.83
  6. Step 6: Final answer
    x = 6,026.56

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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.