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Finding the Fourth Proportional to 7,013.13, 9,677.72 and 4,183.71

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Solution

The fourth proportional to 7,013.13, 9,677.72 and 4,183.71 is: 5,773.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.13 : 9,677.72 = 4,183.71 : x
  2. Step 2: Convert to fraction form
    7,013.13/9,677.72 = 4,183.71/x
  3. Step 3: Cross multiply
    7,013.13x = 9,677.72 × 4,183.71
  4. Step 4: Simplify right side
    7,013.13x = 40,488,753.02
  5. Step 5: Solve for x
    x = 40,488,753.02/7,013.13
  6. Step 6: Final answer
    x = 5,773.28

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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.