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Finding the Fourth Proportional to 9,493.28, 14,241.54 and 4,230.20

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Solution

The fourth proportional to 9,493.28, 14,241.54 and 4,230.20 is: 6,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.28 : 14,241.54 = 4,230.20 : x
  2. Step 2: Convert to fraction form
    9,493.28/14,241.54 = 4,230.20/x
  3. Step 3: Cross multiply
    9,493.28x = 14,241.54 × 4,230.20
  4. Step 4: Simplify right side
    9,493.28x = 60,244,562.51
  5. Step 5: Solve for x
    x = 60,244,562.51/9,493.28
  6. Step 6: Final answer
    x = 6,346.02

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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.