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Finding the Fourth Proportional to 8,967.24, 13,450.86 and 6,478.92

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Solution

The fourth proportional to 8,967.24, 13,450.86 and 6,478.92 is: 9,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.24 : 13,450.86 = 6,478.92 : x
  2. Step 2: Convert to fraction form
    8,967.24/13,450.86 = 6,478.92/x
  3. Step 3: Cross multiply
    8,967.24x = 13,450.86 × 6,478.92
  4. Step 4: Simplify right side
    8,967.24x = 87,147,045.87
  5. Step 5: Solve for x
    x = 87,147,045.87/8,967.24
  6. Step 6: Final answer
    x = 9,718.38

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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.