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Finding the Fourth Proportional to 9,508.68, 14,263.20 and 3,662.16

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Solution

The fourth proportional to 9,508.68, 14,263.20 and 3,662.16 is: 5,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.68 : 14,263.20 = 3,662.16 : x
  2. Step 2: Convert to fraction form
    9,508.68/14,263.20 = 3,662.16/x
  3. Step 3: Cross multiply
    9,508.68x = 14,263.20 × 3,662.16
  4. Step 4: Simplify right side
    9,508.68x = 52,234,120.51
  5. Step 5: Solve for x
    x = 52,234,120.51/9,508.68
  6. Step 6: Final answer
    x = 5,493.31

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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.