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Finding the Fourth Proportional to 9,496.00, 14,242.35 and 2,568.88

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Solution

The fourth proportional to 9,496.00, 14,242.35 and 2,568.88 is: 3,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.00 : 14,242.35 = 2,568.88 : x
  2. Step 2: Convert to fraction form
    9,496.00/14,242.35 = 2,568.88/x
  3. Step 3: Cross multiply
    9,496.00x = 14,242.35 × 2,568.88
  4. Step 4: Simplify right side
    9,496.00x = 36,586,816.86
  5. Step 5: Solve for x
    x = 36,586,816.86/9,496.00
  6. Step 6: Final answer
    x = 3,852.87

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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.