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Finding the Fourth Proportional to 6,123.78, 9,175.95 and 4,661.22

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Solution

The fourth proportional to 6,123.78, 9,175.95 and 4,661.22 is: 6,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.78 : 9,175.95 = 4,661.22 : x
  2. Step 2: Convert to fraction form
    6,123.78/9,175.95 = 4,661.22/x
  3. Step 3: Cross multiply
    6,123.78x = 9,175.95 × 4,661.22
  4. Step 4: Simplify right side
    6,123.78x = 42,771,121.66
  5. Step 5: Solve for x
    x = 42,771,121.66/6,123.78
  6. Step 6: Final answer
    x = 6,984.43

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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.