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Finding the Fourth Proportional to 6,223.53, 9,309.78 and 4,124.01

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Solution

The fourth proportional to 6,223.53, 9,309.78 and 4,124.01 is: 6,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.53 : 9,309.78 = 4,124.01 : x
  2. Step 2: Convert to fraction form
    6,223.53/9,309.78 = 4,124.01/x
  3. Step 3: Cross multiply
    6,223.53x = 9,309.78 × 4,124.01
  4. Step 4: Simplify right side
    6,223.53x = 38,393,625.82
  5. Step 5: Solve for x
    x = 38,393,625.82/6,223.53
  6. Step 6: Final answer
    x = 6,169.11

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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.