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Finding the Fourth Proportional to 9,905.32, 14,849.34 and 3,745

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Solution

The fourth proportional to 9,905.32, 14,849.34 and 3,745 is: 5,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.32 : 14,849.34 = 3,745 : x
  2. Step 2: Convert to fraction form
    9,905.32/14,849.34 = 3,745/x
  3. Step 3: Cross multiply
    9,905.32x = 14,849.34 × 3,745
  4. Step 4: Simplify right side
    9,905.32x = 55,610,778.30
  5. Step 5: Solve for x
    x = 55,610,778.30/9,905.32
  6. Step 6: Final answer
    x = 5,614.23

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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.