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Finding the Fourth Proportional to 9,448.29, 14,163.03 and 4,512.16

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Solution

The fourth proportional to 9,448.29, 14,163.03 and 4,512.16 is: 6,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.29 : 14,163.03 = 4,512.16 : x
  2. Step 2: Convert to fraction form
    9,448.29/14,163.03 = 4,512.16/x
  3. Step 3: Cross multiply
    9,448.29x = 14,163.03 × 4,512.16
  4. Step 4: Simplify right side
    9,448.29x = 63,905,764.07
  5. Step 5: Solve for x
    x = 63,905,764.07/9,448.29
  6. Step 6: Final answer
    x = 6,763.74

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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.