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Finding the Fourth Proportional to 6,553.83, 9,832.30 and 2,856.72

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Solution

The fourth proportional to 6,553.83, 9,832.30 and 2,856.72 is: 4,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.83 : 9,832.30 = 2,856.72 : x
  2. Step 2: Convert to fraction form
    6,553.83/9,832.30 = 2,856.72/x
  3. Step 3: Cross multiply
    6,553.83x = 9,832.30 × 2,856.72
  4. Step 4: Simplify right side
    6,553.83x = 28,088,120.91
  5. Step 5: Solve for x
    x = 28,088,120.91/6,553.83
  6. Step 6: Final answer
    x = 4,285.76

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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.