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Finding the Fourth Proportional to 6,313.86, 9,472.78 and 2,617.84

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Solution

The fourth proportional to 6,313.86, 9,472.78 and 2,617.84 is: 3,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.86 : 9,472.78 = 2,617.84 : x
  2. Step 2: Convert to fraction form
    6,313.86/9,472.78 = 2,617.84/x
  3. Step 3: Cross multiply
    6,313.86x = 9,472.78 × 2,617.84
  4. Step 4: Simplify right side
    6,313.86x = 24,798,222.40
  5. Step 5: Solve for x
    x = 24,798,222.40/6,313.86
  6. Step 6: Final answer
    x = 3,927.59

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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.