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Finding the Fourth Proportional to 9,508.28, 14,241.62 and 4,820.24

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Solution

The fourth proportional to 9,508.28, 14,241.62 and 4,820.24 is: 7,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.28 : 14,241.62 = 4,820.24 : x
  2. Step 2: Convert to fraction form
    9,508.28/14,241.62 = 4,820.24/x
  3. Step 3: Cross multiply
    9,508.28x = 14,241.62 × 4,820.24
  4. Step 4: Simplify right side
    9,508.28x = 68,647,931.08
  5. Step 5: Solve for x
    x = 68,647,931.08/9,508.28
  6. Step 6: Final answer
    x = 7,219.81

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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.