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Finding the Fourth Proportional to 9,668.16, 13,334.52 and 6,480.41

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Solution

The fourth proportional to 9,668.16, 13,334.52 and 6,480.41 is: 8,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 13,334.52 = 6,480.41 : x
  2. Step 2: Convert to fraction form
    9,668.16/13,334.52 = 6,480.41/x
  3. Step 3: Cross multiply
    9,668.16x = 13,334.52 × 6,480.41
  4. Step 4: Simplify right side
    9,668.16x = 86,413,114.38
  5. Step 5: Solve for x
    x = 86,413,114.38/9,668.16
  6. Step 6: Final answer
    x = 8,937.91

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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.