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Finding the Fourth Proportional to 9,314.69, 13,969.07 and 3,073.54

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Solution

The fourth proportional to 9,314.69, 13,969.07 and 3,073.54 is: 4,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.69 : 13,969.07 = 3,073.54 : x
  2. Step 2: Convert to fraction form
    9,314.69/13,969.07 = 3,073.54/x
  3. Step 3: Cross multiply
    9,314.69x = 13,969.07 × 3,073.54
  4. Step 4: Simplify right side
    9,314.69x = 42,934,495.41
  5. Step 5: Solve for x
    x = 42,934,495.41/9,314.69
  6. Step 6: Final answer
    x = 4,609.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.