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Finding the Fourth Proportional to 28,638.61, 42,940.27 and 9,914.29

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Solution

The fourth proportional to 28,638.61, 42,940.27 and 9,914.29 is: 14,865.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,638.61 : 42,940.27 = 9,914.29 : x
  2. Step 2: Convert to fraction form
    28,638.61/42,940.27 = 9,914.29/x
  3. Step 3: Cross multiply
    28,638.61x = 42,940.27 × 9,914.29
  4. Step 4: Simplify right side
    28,638.61x = 425,722,289.46
  5. Step 5: Solve for x
    x = 425,722,289.46/28,638.61
  6. Step 6: Final answer
    x = 14,865.33

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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.