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Finding the Fourth Proportional to 8,738.16, 13,102.20 and 5,969.04

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Solution

The fourth proportional to 8,738.16, 13,102.20 and 5,969.04 is: 8,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.16 : 13,102.20 = 5,969.04 : x
  2. Step 2: Convert to fraction form
    8,738.16/13,102.20 = 5,969.04/x
  3. Step 3: Cross multiply
    8,738.16x = 13,102.20 × 5,969.04
  4. Step 4: Simplify right side
    8,738.16x = 78,207,555.89
  5. Step 5: Solve for x
    x = 78,207,555.89/8,738.16
  6. Step 6: Final answer
    x = 8,950.12

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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.