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Finding the Fourth Proportional to 9,496.25, 14,247.45 and 4,566.27

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Solution

The fourth proportional to 9,496.25, 14,247.45 and 4,566.27 is: 6,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.25 : 14,247.45 = 4,566.27 : x
  2. Step 2: Convert to fraction form
    9,496.25/14,247.45 = 4,566.27/x
  3. Step 3: Cross multiply
    9,496.25x = 14,247.45 × 4,566.27
  4. Step 4: Simplify right side
    9,496.25x = 65,057,703.51
  5. Step 5: Solve for x
    x = 65,057,703.51/9,496.25
  6. Step 6: Final answer
    x = 6,850.88

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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.