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Finding the Fourth Proportional to 9,349.94, 14,024.64 and 3,431.54

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Solution

The fourth proportional to 9,349.94, 14,024.64 and 3,431.54 is: 5,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.94 : 14,024.64 = 3,431.54 : x
  2. Step 2: Convert to fraction form
    9,349.94/14,024.64 = 3,431.54/x
  3. Step 3: Cross multiply
    9,349.94x = 14,024.64 × 3,431.54
  4. Step 4: Simplify right side
    9,349.94x = 48,126,113.15
  5. Step 5: Solve for x
    x = 48,126,113.15/9,349.94
  6. Step 6: Final answer
    x = 5,147.21

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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.