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Finding the Fourth Proportional to 6,133.17, 8,466.35 and 4,146.42

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Solution

The fourth proportional to 6,133.17, 8,466.35 and 4,146.42 is: 5,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.17 : 8,466.35 = 4,146.42 : x
  2. Step 2: Convert to fraction form
    6,133.17/8,466.35 = 4,146.42/x
  3. Step 3: Cross multiply
    6,133.17x = 8,466.35 × 4,146.42
  4. Step 4: Simplify right side
    6,133.17x = 35,105,042.97
  5. Step 5: Solve for x
    x = 35,105,042.97/6,133.17
  6. Step 6: Final answer
    x = 5,723.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.