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Finding the Fourth Proportional to 9,668.35, 13,338.39 and 6,310

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Solution

The fourth proportional to 9,668.35, 13,338.39 and 6,310 is: 8,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.35 : 13,338.39 = 6,310 : x
  2. Step 2: Convert to fraction form
    9,668.35/13,338.39 = 6,310/x
  3. Step 3: Cross multiply
    9,668.35x = 13,338.39 × 6,310
  4. Step 4: Simplify right side
    9,668.35x = 84,165,240.90
  5. Step 5: Solve for x
    x = 84,165,240.90/9,668.35
  6. Step 6: Final answer
    x = 8,705.23

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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.