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Finding the Fourth Proportional to 9,562.24, 13,193.28 and 6,023.68

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Solution

The fourth proportional to 9,562.24, 13,193.28 and 6,023.68 is: 8,311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.24 : 13,193.28 = 6,023.68 : x
  2. Step 2: Convert to fraction form
    9,562.24/13,193.28 = 6,023.68/x
  3. Step 3: Cross multiply
    9,562.24x = 13,193.28 × 6,023.68
  4. Step 4: Simplify right side
    9,562.24x = 79,472,096.87
  5. Step 5: Solve for x
    x = 79,472,096.87/9,562.24
  6. Step 6: Final answer
    x = 8,311.03

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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.