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Finding the Fourth Proportional to 6,256.68, 9,388.67 and 2,558.36

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Solution

The fourth proportional to 6,256.68, 9,388.67 and 2,558.36 is: 3,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.68 : 9,388.67 = 2,558.36 : x
  2. Step 2: Convert to fraction form
    6,256.68/9,388.67 = 2,558.36/x
  3. Step 3: Cross multiply
    6,256.68x = 9,388.67 × 2,558.36
  4. Step 4: Simplify right side
    6,256.68x = 24,019,538.05
  5. Step 5: Solve for x
    x = 24,019,538.05/6,256.68
  6. Step 6: Final answer
    x = 3,839.02

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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.