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Finding the Fourth Proportional to 9,313.94, 13,967.22 and 4,116.18

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Solution

The fourth proportional to 9,313.94, 13,967.22 and 4,116.18 is: 6,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.94 : 13,967.22 = 4,116.18 : x
  2. Step 2: Convert to fraction form
    9,313.94/13,967.22 = 4,116.18/x
  3. Step 3: Cross multiply
    9,313.94x = 13,967.22 × 4,116.18
  4. Step 4: Simplify right side
    9,313.94x = 57,491,591.62
  5. Step 5: Solve for x
    x = 57,491,591.62/9,313.94
  6. Step 6: Final answer
    x = 6,172.64

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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.