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Finding the Fourth Proportional to 6,905.96, 9,531.23 and 3,921.18

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Solution

The fourth proportional to 6,905.96, 9,531.23 and 3,921.18 is: 5,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.96 : 9,531.23 = 3,921.18 : x
  2. Step 2: Convert to fraction form
    6,905.96/9,531.23 = 3,921.18/x
  3. Step 3: Cross multiply
    6,905.96x = 9,531.23 × 3,921.18
  4. Step 4: Simplify right side
    6,905.96x = 37,373,668.45
  5. Step 5: Solve for x
    x = 37,373,668.45/6,905.96
  6. Step 6: Final answer
    x = 5,411.80

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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.