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Finding the Fourth Proportional to 28,943.84, 43,414.94 and 9,223.58

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Solution

The fourth proportional to 28,943.84, 43,414.94 and 9,223.58 is: 13,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,943.84 : 43,414.94 = 9,223.58 : x
  2. Step 2: Convert to fraction form
    28,943.84/43,414.94 = 9,223.58/x
  3. Step 3: Cross multiply
    28,943.84x = 43,414.94 × 9,223.58
  4. Step 4: Simplify right side
    28,943.84x = 400,440,978.27
  5. Step 5: Solve for x
    x = 400,440,978.27/28,943.84
  6. Step 6: Final answer
    x = 13,835.10

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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.