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Finding the Fourth Proportional to 9,702, 13,388.76 and 5,286

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Solution

The fourth proportional to 9,702, 13,388.76 and 5,286 is: 7,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 13,388.76 = 5,286 : x
  2. Step 2: Convert to fraction form
    9,702/13,388.76 = 5,286/x
  3. Step 3: Cross multiply
    9,702x = 13,388.76 × 5,286
  4. Step 4: Simplify right side
    9,702x = 70,772,985.36
  5. Step 5: Solve for x
    x = 70,772,985.36/9,702
  6. Step 6: Final answer
    x = 7,294.68

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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.