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Finding the Fourth Proportional to 8,983.10, 13,474.62 and 2,409.12

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Solution

The fourth proportional to 8,983.10, 13,474.62 and 2,409.12 is: 3,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,983.10 : 13,474.62 = 2,409.12 : x
  2. Step 2: Convert to fraction form
    8,983.10/13,474.62 = 2,409.12/x
  3. Step 3: Cross multiply
    8,983.10x = 13,474.62 × 2,409.12
  4. Step 4: Simplify right side
    8,983.10x = 32,461,976.53
  5. Step 5: Solve for x
    x = 32,461,976.53/8,983.10
  6. Step 6: Final answer
    x = 3,613.67

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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.