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Finding the Fourth Proportional to 9,728.30, 14,593.16 and 2,803.34

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Solution

The fourth proportional to 9,728.30, 14,593.16 and 2,803.34 is: 4,205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.30 : 14,593.16 = 2,803.34 : x
  2. Step 2: Convert to fraction form
    9,728.30/14,593.16 = 2,803.34/x
  3. Step 3: Cross multiply
    9,728.30x = 14,593.16 × 2,803.34
  4. Step 4: Simplify right side
    9,728.30x = 40,909,589.15
  5. Step 5: Solve for x
    x = 40,909,589.15/9,728.30
  6. Step 6: Final answer
    x = 4,205.21

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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.