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Finding the Fourth Proportional to 9,252, 13,881.50 and 5,556.82

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Solution

The fourth proportional to 9,252, 13,881.50 and 5,556.82 is: 8,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252 : 13,881.50 = 5,556.82 : x
  2. Step 2: Convert to fraction form
    9,252/13,881.50 = 5,556.82/x
  3. Step 3: Cross multiply
    9,252x = 13,881.50 × 5,556.82
  4. Step 4: Simplify right side
    9,252x = 77,136,996.83
  5. Step 5: Solve for x
    x = 77,136,996.83/9,252
  6. Step 6: Final answer
    x = 8,337.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.