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Finding the Fourth Proportional to 6,203.78, 9,300.80 and 4,250.06

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Solution

The fourth proportional to 6,203.78, 9,300.80 and 4,250.06 is: 6,371.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.78 : 9,300.80 = 4,250.06 : x
  2. Step 2: Convert to fraction form
    6,203.78/9,300.80 = 4,250.06/x
  3. Step 3: Cross multiply
    6,203.78x = 9,300.80 × 4,250.06
  4. Step 4: Simplify right side
    6,203.78x = 39,528,922.17
  5. Step 5: Solve for x
    x = 39,528,922.17/6,203.78
  6. Step 6: Final answer
    x = 6,371.75

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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.