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Finding the Fourth Proportional to 9,124.92, 13,684.50 and 5,790.84

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Solution

The fourth proportional to 9,124.92, 13,684.50 and 5,790.84 is: 8,684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.92 : 13,684.50 = 5,790.84 : x
  2. Step 2: Convert to fraction form
    9,124.92/13,684.50 = 5,790.84/x
  3. Step 3: Cross multiply
    9,124.92x = 13,684.50 × 5,790.84
  4. Step 4: Simplify right side
    9,124.92x = 79,244,749.98
  5. Step 5: Solve for x
    x = 79,244,749.98/9,124.92
  6. Step 6: Final answer
    x = 8,684.43

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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.