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Finding the Fourth Proportional to 6,027.42, 8,324.69 and 4,914.08

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Solution

The fourth proportional to 6,027.42, 8,324.69 and 4,914.08 is: 6,787.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.42 : 8,324.69 = 4,914.08 : x
  2. Step 2: Convert to fraction form
    6,027.42/8,324.69 = 4,914.08/x
  3. Step 3: Cross multiply
    6,027.42x = 8,324.69 × 4,914.08
  4. Step 4: Simplify right side
    6,027.42x = 40,908,126.44
  5. Step 5: Solve for x
    x = 40,908,126.44/6,027.42
  6. Step 6: Final answer
    x = 6,787.00

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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.