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Finding the Fourth Proportional to 6,383.76, 9,571.02 and 4,298.59

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Solution

The fourth proportional to 6,383.76, 9,571.02 and 4,298.59 is: 6,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.76 : 9,571.02 = 4,298.59 : x
  2. Step 2: Convert to fraction form
    6,383.76/9,571.02 = 4,298.59/x
  3. Step 3: Cross multiply
    6,383.76x = 9,571.02 × 4,298.59
  4. Step 4: Simplify right side
    6,383.76x = 41,141,890.86
  5. Step 5: Solve for x
    x = 41,141,890.86/6,383.76
  6. Step 6: Final answer
    x = 6,444.77

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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.