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Finding the Fourth Proportional to 9,509.38, 13,122.94 and 5,317.62

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Solution

The fourth proportional to 9,509.38, 13,122.94 and 5,317.62 is: 7,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.38 : 13,122.94 = 5,317.62 : x
  2. Step 2: Convert to fraction form
    9,509.38/13,122.94 = 5,317.62/x
  3. Step 3: Cross multiply
    9,509.38x = 13,122.94 × 5,317.62
  4. Step 4: Simplify right side
    9,509.38x = 69,782,808.20
  5. Step 5: Solve for x
    x = 69,782,808.20/9,509.38
  6. Step 6: Final answer
    x = 7,338.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.