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Finding the Fourth Proportional to 28,083.84, 42,121.44 and 9,364.20

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Solution

The fourth proportional to 28,083.84, 42,121.44 and 9,364.20 is: 14,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,083.84 : 42,121.44 = 9,364.20 : x
  2. Step 2: Convert to fraction form
    28,083.84/42,121.44 = 9,364.20/x
  3. Step 3: Cross multiply
    28,083.84x = 42,121.44 × 9,364.20
  4. Step 4: Simplify right side
    28,083.84x = 394,433,588.45
  5. Step 5: Solve for x
    x = 394,433,588.45/28,083.84
  6. Step 6: Final answer
    x = 14,044.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.