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Finding the Fourth Proportional to 6,340.05, 9,511.70 and 3,709.77

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Solution

The fourth proportional to 6,340.05, 9,511.70 and 3,709.77 is: 5,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.05 : 9,511.70 = 3,709.77 : x
  2. Step 2: Convert to fraction form
    6,340.05/9,511.70 = 3,709.77/x
  3. Step 3: Cross multiply
    6,340.05x = 9,511.70 × 3,709.77
  4. Step 4: Simplify right side
    6,340.05x = 35,286,254.87
  5. Step 5: Solve for x
    x = 35,286,254.87/6,340.05
  6. Step 6: Final answer
    x = 5,565.61

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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.