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Finding the Fourth Proportional to 6,285.99, 8,669.86 and 4,606.80

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Solution

The fourth proportional to 6,285.99, 8,669.86 and 4,606.80 is: 6,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.99 : 8,669.86 = 4,606.80 : x
  2. Step 2: Convert to fraction form
    6,285.99/8,669.86 = 4,606.80/x
  3. Step 3: Cross multiply
    6,285.99x = 8,669.86 × 4,606.80
  4. Step 4: Simplify right side
    6,285.99x = 39,940,311.05
  5. Step 5: Solve for x
    x = 39,940,311.05/6,285.99
  6. Step 6: Final answer
    x = 6,353.86

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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.