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Finding the Fourth Proportional to 29,457.92, 44,187.42 and 9,738.20

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Solution

The fourth proportional to 29,457.92, 44,187.42 and 9,738.20 is: 14,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457.92 : 44,187.42 = 9,738.20 : x
  2. Step 2: Convert to fraction form
    29,457.92/44,187.42 = 9,738.20/x
  3. Step 3: Cross multiply
    29,457.92x = 44,187.42 × 9,738.20
  4. Step 4: Simplify right side
    29,457.92x = 430,305,933.44
  5. Step 5: Solve for x
    x = 430,305,933.44/29,457.92
  6. Step 6: Final answer
    x = 14,607.48

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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.