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Finding the Fourth Proportional to 6,550.89, 9,816.72 and 4,078.17

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Solution

The fourth proportional to 6,550.89, 9,816.72 and 4,078.17 is: 6,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.89 : 9,816.72 = 4,078.17 : x
  2. Step 2: Convert to fraction form
    6,550.89/9,816.72 = 4,078.17/x
  3. Step 3: Cross multiply
    6,550.89x = 9,816.72 × 4,078.17
  4. Step 4: Simplify right side
    6,550.89x = 40,034,253.00
  5. Step 5: Solve for x
    x = 40,034,253.00/6,550.89
  6. Step 6: Final answer
    x = 6,111.27

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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.