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Finding the Fourth Proportional to 6,372.54, 9,534.09 and 5,586.63

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Solution

The fourth proportional to 6,372.54, 9,534.09 and 5,586.63 is: 8,358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.54 : 9,534.09 = 5,586.63 : x
  2. Step 2: Convert to fraction form
    6,372.54/9,534.09 = 5,586.63/x
  3. Step 3: Cross multiply
    6,372.54x = 9,534.09 × 5,586.63
  4. Step 4: Simplify right side
    6,372.54x = 53,263,433.22
  5. Step 5: Solve for x
    x = 53,263,433.22/6,372.54
  6. Step 6: Final answer
    x = 8,358.27

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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.