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Finding the Fourth Proportional to 9,350.38, 13,960.49 and 8,417.26

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Solution

The fourth proportional to 9,350.38, 13,960.49 and 8,417.26 is: 12,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.38 : 13,960.49 = 8,417.26 : x
  2. Step 2: Convert to fraction form
    9,350.38/13,960.49 = 8,417.26/x
  3. Step 3: Cross multiply
    9,350.38x = 13,960.49 × 8,417.26
  4. Step 4: Simplify right side
    9,350.38x = 117,509,074.06
  5. Step 5: Solve for x
    x = 117,509,074.06/9,350.38
  6. Step 6: Final answer
    x = 12,567.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.