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Finding the Fourth Proportional to 6,294.56, 9,441.86 and 2,827.76

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Solution

The fourth proportional to 6,294.56, 9,441.86 and 2,827.76 is: 4,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.56 : 9,441.86 = 2,827.76 : x
  2. Step 2: Convert to fraction form
    6,294.56/9,441.86 = 2,827.76/x
  3. Step 3: Cross multiply
    6,294.56x = 9,441.86 × 2,827.76
  4. Step 4: Simplify right side
    6,294.56x = 26,699,252.69
  5. Step 5: Solve for x
    x = 26,699,252.69/6,294.56
  6. Step 6: Final answer
    x = 4,241.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.