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Finding the Fourth Proportional to 7,049.60, 9,728.46 and 3,905.78

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Solution

The fourth proportional to 7,049.60, 9,728.46 and 3,905.78 is: 5,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.60 : 9,728.46 = 3,905.78 : x
  2. Step 2: Convert to fraction form
    7,049.60/9,728.46 = 3,905.78/x
  3. Step 3: Cross multiply
    7,049.60x = 9,728.46 × 3,905.78
  4. Step 4: Simplify right side
    7,049.60x = 37,997,204.97
  5. Step 5: Solve for x
    x = 37,997,204.97/7,049.60
  6. Step 6: Final answer
    x = 5,389.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.