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Finding the Fourth Proportional to 6,728.72, 9,285.17 and 4,210.70

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Solution

The fourth proportional to 6,728.72, 9,285.17 and 4,210.70 is: 5,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.72 : 9,285.17 = 4,210.70 : x
  2. Step 2: Convert to fraction form
    6,728.72/9,285.17 = 4,210.70/x
  3. Step 3: Cross multiply
    6,728.72x = 9,285.17 × 4,210.70
  4. Step 4: Simplify right side
    6,728.72x = 39,096,997.84
  5. Step 5: Solve for x
    x = 39,096,997.84/6,728.72
  6. Step 6: Final answer
    x = 5,810.47

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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.