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Finding the Fourth Proportional to 6,865.56, 9,472.14 and 4,213.62

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Solution

The fourth proportional to 6,865.56, 9,472.14 and 4,213.62 is: 5,813.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.56 : 9,472.14 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    6,865.56/9,472.14 = 4,213.62/x
  3. Step 3: Cross multiply
    6,865.56x = 9,472.14 × 4,213.62
  4. Step 4: Simplify right side
    6,865.56x = 39,911,998.55
  5. Step 5: Solve for x
    x = 39,911,998.55/6,865.56
  6. Step 6: Final answer
    x = 5,813.36

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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.