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Finding the Fourth Proportional to 7,128.49, 9,838.25 and 3,985.33

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Solution

The fourth proportional to 7,128.49, 9,838.25 and 3,985.33 is: 5,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.49 : 9,838.25 = 3,985.33 : x
  2. Step 2: Convert to fraction form
    7,128.49/9,838.25 = 3,985.33/x
  3. Step 3: Cross multiply
    7,128.49x = 9,838.25 × 3,985.33
  4. Step 4: Simplify right side
    7,128.49x = 39,208,672.87
  5. Step 5: Solve for x
    x = 39,208,672.87/7,128.49
  6. Step 6: Final answer
    x = 5,500.28

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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.