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Finding the Fourth Proportional to 6,475.93, 9,715.51 and 2,093.83

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Solution

The fourth proportional to 6,475.93, 9,715.51 and 2,093.83 is: 3,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.93 : 9,715.51 = 2,093.83 : x
  2. Step 2: Convert to fraction form
    6,475.93/9,715.51 = 2,093.83/x
  3. Step 3: Cross multiply
    6,475.93x = 9,715.51 × 2,093.83
  4. Step 4: Simplify right side
    6,475.93x = 20,342,626.30
  5. Step 5: Solve for x
    x = 20,342,626.30/6,475.93
  6. Step 6: Final answer
    x = 3,141.27

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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.