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Finding the Fourth Proportional to 6,313.72, 9,457.60 and 5,074.44

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Solution

The fourth proportional to 6,313.72, 9,457.60 and 5,074.44 is: 7,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.72 : 9,457.60 = 5,074.44 : x
  2. Step 2: Convert to fraction form
    6,313.72/9,457.60 = 5,074.44/x
  3. Step 3: Cross multiply
    6,313.72x = 9,457.60 × 5,074.44
  4. Step 4: Simplify right side
    6,313.72x = 47,992,023.74
  5. Step 5: Solve for x
    x = 47,992,023.74/6,313.72
  6. Step 6: Final answer
    x = 7,601.23

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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.