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Finding the Fourth Proportional to 6,094.26, 9,146.03 and 4,013.55

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Solution

The fourth proportional to 6,094.26, 9,146.03 and 4,013.55 is: 6,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.26 : 9,146.03 = 4,013.55 : x
  2. Step 2: Convert to fraction form
    6,094.26/9,146.03 = 4,013.55/x
  3. Step 3: Cross multiply
    6,094.26x = 9,146.03 × 4,013.55
  4. Step 4: Simplify right side
    6,094.26x = 36,708,028.64
  5. Step 5: Solve for x
    x = 36,708,028.64/6,094.26
  6. Step 6: Final answer
    x = 6,023.38

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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.