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Finding the Fourth Proportional to 6,128.42, 9,186.21 and 2,838.78

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Solution

The fourth proportional to 6,128.42, 9,186.21 and 2,838.78 is: 4,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.42 : 9,186.21 = 2,838.78 : x
  2. Step 2: Convert to fraction form
    6,128.42/9,186.21 = 2,838.78/x
  3. Step 3: Cross multiply
    6,128.42x = 9,186.21 × 2,838.78
  4. Step 4: Simplify right side
    6,128.42x = 26,077,629.22
  5. Step 5: Solve for x
    x = 26,077,629.22/6,128.42
  6. Step 6: Final answer
    x = 4,255.20

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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.