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Finding the Fourth Proportional to 6,123.54, 9,181.26 and 2,427.51

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Solution

The fourth proportional to 6,123.54, 9,181.26 and 2,427.51 is: 3,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.54 : 9,181.26 = 2,427.51 : x
  2. Step 2: Convert to fraction form
    6,123.54/9,181.26 = 2,427.51/x
  3. Step 3: Cross multiply
    6,123.54x = 9,181.26 × 2,427.51
  4. Step 4: Simplify right side
    6,123.54x = 22,287,600.46
  5. Step 5: Solve for x
    x = 22,287,600.46/6,123.54
  6. Step 6: Final answer
    x = 3,639.66

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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.