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Finding the Fourth Proportional to 6,560.28, 9,835.50 and 4,222.86

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Solution

The fourth proportional to 6,560.28, 9,835.50 and 4,222.86 is: 6,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.28 : 9,835.50 = 4,222.86 : x
  2. Step 2: Convert to fraction form
    6,560.28/9,835.50 = 4,222.86/x
  3. Step 3: Cross multiply
    6,560.28x = 9,835.50 × 4,222.86
  4. Step 4: Simplify right side
    6,560.28x = 41,533,939.53
  5. Step 5: Solve for x
    x = 41,533,939.53/6,560.28
  6. Step 6: Final answer
    x = 6,331.12

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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.