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Finding the Fourth Proportional to 9,480.44, 14,223.74 and 6,199.96

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Solution

The fourth proportional to 9,480.44, 14,223.74 and 6,199.96 is: 9,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.44 : 14,223.74 = 6,199.96 : x
  2. Step 2: Convert to fraction form
    9,480.44/14,223.74 = 6,199.96/x
  3. Step 3: Cross multiply
    9,480.44x = 14,223.74 × 6,199.96
  4. Step 4: Simplify right side
    9,480.44x = 88,186,619.05
  5. Step 5: Solve for x
    x = 88,186,619.05/9,480.44
  6. Step 6: Final answer
    x = 9,301.95

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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.