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Finding the Fourth Proportional to 6,457.93, 8,911.72 and 3,663.43

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Solution

The fourth proportional to 6,457.93, 8,911.72 and 3,663.43 is: 5,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.93 : 8,911.72 = 3,663.43 : x
  2. Step 2: Convert to fraction form
    6,457.93/8,911.72 = 3,663.43/x
  3. Step 3: Cross multiply
    6,457.93x = 8,911.72 × 3,663.43
  4. Step 4: Simplify right side
    6,457.93x = 32,647,444.70
  5. Step 5: Solve for x
    x = 32,647,444.70/6,457.93
  6. Step 6: Final answer
    x = 5,055.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.