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Finding the Fourth Proportional to 9,694.17, 14,533.38 and 9,144.18

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Solution

The fourth proportional to 9,694.17, 14,533.38 and 9,144.18 is: 13,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.17 : 14,533.38 = 9,144.18 : x
  2. Step 2: Convert to fraction form
    9,694.17/14,533.38 = 9,144.18/x
  3. Step 3: Cross multiply
    9,694.17x = 14,533.38 × 9,144.18
  4. Step 4: Simplify right side
    9,694.17x = 132,895,842.73
  5. Step 5: Solve for x
    x = 132,895,842.73/9,694.17
  6. Step 6: Final answer
    x = 13,708.84

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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.