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Finding the Fourth Proportional to 6,905.79, 9,529.89 and 3,921.60

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Solution

The fourth proportional to 6,905.79, 9,529.89 and 3,921.60 is: 5,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.79 : 9,529.89 = 3,921.60 : x
  2. Step 2: Convert to fraction form
    6,905.79/9,529.89 = 3,921.60/x
  3. Step 3: Cross multiply
    6,905.79x = 9,529.89 × 3,921.60
  4. Step 4: Simplify right side
    6,905.79x = 37,372,416.62
  5. Step 5: Solve for x
    x = 37,372,416.62/6,905.79
  6. Step 6: Final answer
    x = 5,411.75

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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.