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Finding the Fourth Proportional to 6,314.43, 8,715.96 and 3,664.47

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Solution

The fourth proportional to 6,314.43, 8,715.96 and 3,664.47 is: 5,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.43 : 8,715.96 = 3,664.47 : x
  2. Step 2: Convert to fraction form
    6,314.43/8,715.96 = 3,664.47/x
  3. Step 3: Cross multiply
    6,314.43x = 8,715.96 × 3,664.47
  4. Step 4: Simplify right side
    6,314.43x = 31,939,373.94
  5. Step 5: Solve for x
    x = 31,939,373.94/6,314.43
  6. Step 6: Final answer
    x = 5,058.16

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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.