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Finding the Fourth Proportional to 6,134.09, 9,199.59 and 1,751.57

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Solution

The fourth proportional to 6,134.09, 9,199.59 and 1,751.57 is: 2,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.09 : 9,199.59 = 1,751.57 : x
  2. Step 2: Convert to fraction form
    6,134.09/9,199.59 = 1,751.57/x
  3. Step 3: Cross multiply
    6,134.09x = 9,199.59 × 1,751.57
  4. Step 4: Simplify right side
    6,134.09x = 16,113,725.86
  5. Step 5: Solve for x
    x = 16,113,725.86/6,134.09
  6. Step 6: Final answer
    x = 2,626.91

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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.