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Finding the Fourth Proportional to 5,967.14, 8,240.76 and 4,472.69

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Solution

The fourth proportional to 5,967.14, 8,240.76 and 4,472.69 is: 6,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.14 : 8,240.76 = 4,472.69 : x
  2. Step 2: Convert to fraction form
    5,967.14/8,240.76 = 4,472.69/x
  3. Step 3: Cross multiply
    5,967.14x = 8,240.76 × 4,472.69
  4. Step 4: Simplify right side
    5,967.14x = 36,858,323.64
  5. Step 5: Solve for x
    x = 36,858,323.64/5,967.14
  6. Step 6: Final answer
    x = 6,176.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.