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Finding the Fourth Proportional to 6,124.63, 9,188.49 and 1,742.09

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Solution

The fourth proportional to 6,124.63, 9,188.49 and 1,742.09 is: 2,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.63 : 9,188.49 = 1,742.09 : x
  2. Step 2: Convert to fraction form
    6,124.63/9,188.49 = 1,742.09/x
  3. Step 3: Cross multiply
    6,124.63x = 9,188.49 × 1,742.09
  4. Step 4: Simplify right side
    6,124.63x = 16,007,149.22
  5. Step 5: Solve for x
    x = 16,007,149.22/6,124.63
  6. Step 6: Final answer
    x = 2,613.57

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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.