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Finding the Fourth Proportional to 9,463.69, 14,170.91 and 5,059.62

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Solution

The fourth proportional to 9,463.69, 14,170.91 and 5,059.62 is: 7,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.69 : 14,170.91 = 5,059.62 : x
  2. Step 2: Convert to fraction form
    9,463.69/14,170.91 = 5,059.62/x
  3. Step 3: Cross multiply
    9,463.69x = 14,170.91 × 5,059.62
  4. Step 4: Simplify right side
    9,463.69x = 71,699,419.65
  5. Step 5: Solve for x
    x = 71,699,419.65/9,463.69
  6. Step 6: Final answer
    x = 7,576.26

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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.