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Finding the Fourth Proportional to 6,605.94, 9,114.70 and 4,481.76

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Solution

The fourth proportional to 6,605.94, 9,114.70 and 4,481.76 is: 6,183.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.94 : 9,114.70 = 4,481.76 : x
  2. Step 2: Convert to fraction form
    6,605.94/9,114.70 = 4,481.76/x
  3. Step 3: Cross multiply
    6,605.94x = 9,114.70 × 4,481.76
  4. Step 4: Simplify right side
    6,605.94x = 40,849,897.87
  5. Step 5: Solve for x
    x = 40,849,897.87/6,605.94
  6. Step 6: Final answer
    x = 6,183.81

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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.