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Finding the Fourth Proportional to 6,245.99, 9,323.42 and 5,457.77

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Solution

The fourth proportional to 6,245.99, 9,323.42 and 5,457.77 is: 8,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.99 : 9,323.42 = 5,457.77 : x
  2. Step 2: Convert to fraction form
    6,245.99/9,323.42 = 5,457.77/x
  3. Step 3: Cross multiply
    6,245.99x = 9,323.42 × 5,457.77
  4. Step 4: Simplify right side
    6,245.99x = 50,885,081.97
  5. Step 5: Solve for x
    x = 50,885,081.97/6,245.99
  6. Step 6: Final answer
    x = 8,146.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.