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Finding the Fourth Proportional to 9,143.46, 13,715.19 and 4,212.18

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Solution

The fourth proportional to 9,143.46, 13,715.19 and 4,212.18 is: 6,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.46 : 13,715.19 = 4,212.18 : x
  2. Step 2: Convert to fraction form
    9,143.46/13,715.19 = 4,212.18/x
  3. Step 3: Cross multiply
    9,143.46x = 13,715.19 × 4,212.18
  4. Step 4: Simplify right side
    9,143.46x = 57,770,849.01
  5. Step 5: Solve for x
    x = 57,770,849.01/9,143.46
  6. Step 6: Final answer
    x = 6,318.27

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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.