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Finding the Fourth Proportional to 6,223.84, 9,323.26 and 3,094.38

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Solution

The fourth proportional to 6,223.84, 9,323.26 and 3,094.38 is: 4,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.84 : 9,323.26 = 3,094.38 : x
  2. Step 2: Convert to fraction form
    6,223.84/9,323.26 = 3,094.38/x
  3. Step 3: Cross multiply
    6,223.84x = 9,323.26 × 3,094.38
  4. Step 4: Simplify right side
    6,223.84x = 28,849,701.54
  5. Step 5: Solve for x
    x = 28,849,701.54/6,223.84
  6. Step 6: Final answer
    x = 4,635.36

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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.