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Finding the Fourth Proportional to 9,728.34, 14,592.82 and 3,805

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Solution

The fourth proportional to 9,728.34, 14,592.82 and 3,805 is: 5,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.34 : 14,592.82 = 3,805 : x
  2. Step 2: Convert to fraction form
    9,728.34/14,592.82 = 3,805/x
  3. Step 3: Cross multiply
    9,728.34x = 14,592.82 × 3,805
  4. Step 4: Simplify right side
    9,728.34x = 55,525,680.10
  5. Step 5: Solve for x
    x = 55,525,680.10/9,728.34
  6. Step 6: Final answer
    x = 5,707.62

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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.