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Finding the Fourth Proportional to 9,668, 13,341.84 and 5,252

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Solution

The fourth proportional to 9,668, 13,341.84 and 5,252 is: 7,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668 : 13,341.84 = 5,252 : x
  2. Step 2: Convert to fraction form
    9,668/13,341.84 = 5,252/x
  3. Step 3: Cross multiply
    9,668x = 13,341.84 × 5,252
  4. Step 4: Simplify right side
    9,668x = 70,071,343.68
  5. Step 5: Solve for x
    x = 70,071,343.68/9,668
  6. Step 6: Final answer
    x = 7,247.76

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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.