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Finding the Fourth Proportional to 6,457.92, 9,684.76 and 2,074.34

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Solution

The fourth proportional to 6,457.92, 9,684.76 and 2,074.34 is: 3,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.92 : 9,684.76 = 2,074.34 : x
  2. Step 2: Convert to fraction form
    6,457.92/9,684.76 = 2,074.34/x
  3. Step 3: Cross multiply
    6,457.92x = 9,684.76 × 2,074.34
  4. Step 4: Simplify right side
    6,457.92x = 20,089,485.06
  5. Step 5: Solve for x
    x = 20,089,485.06/6,457.92
  6. Step 6: Final answer
    x = 3,110.83

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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.