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Finding the Fourth Proportional to 6,905.84, 9,528.42 and 3,921.02

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Solution

The fourth proportional to 6,905.84, 9,528.42 and 3,921.02 is: 5,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.84 : 9,528.42 = 3,921.02 : x
  2. Step 2: Convert to fraction form
    6,905.84/9,528.42 = 3,921.02/x
  3. Step 3: Cross multiply
    6,905.84x = 9,528.42 × 3,921.02
  4. Step 4: Simplify right side
    6,905.84x = 37,361,125.39
  5. Step 5: Solve for x
    x = 37,361,125.39/6,905.84
  6. Step 6: Final answer
    x = 5,410.08

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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.