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Finding the Fourth Proportional to 6,865.56, 9,474.42 and 3,881.99

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Solution

The fourth proportional to 6,865.56, 9,474.42 and 3,881.99 is: 5,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.56 : 9,474.42 = 3,881.99 : x
  2. Step 2: Convert to fraction form
    6,865.56/9,474.42 = 3,881.99/x
  3. Step 3: Cross multiply
    6,865.56x = 9,474.42 × 3,881.99
  4. Step 4: Simplify right side
    6,865.56x = 36,779,570.88
  5. Step 5: Solve for x
    x = 36,779,570.88/6,865.56
  6. Step 6: Final answer
    x = 5,357.11

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Why These Related Problems?

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