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Finding the Fourth Proportional to 6,305.32, 9,471.75 and 5,419.58

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Solution

The fourth proportional to 6,305.32, 9,471.75 and 5,419.58 is: 8,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.32 : 9,471.75 = 5,419.58 : x
  2. Step 2: Convert to fraction form
    6,305.32/9,471.75 = 5,419.58/x
  3. Step 3: Cross multiply
    6,305.32x = 9,471.75 × 5,419.58
  4. Step 4: Simplify right side
    6,305.32x = 51,332,879.77
  5. Step 5: Solve for x
    x = 51,332,879.77/6,305.32
  6. Step 6: Final answer
    x = 8,141.21

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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.