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Finding the Fourth Proportional to 6,905.53, 9,529.60 and 3,921.22

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Solution

The fourth proportional to 6,905.53, 9,529.60 and 3,921.22 is: 5,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.53 : 9,529.60 = 3,921.22 : x
  2. Step 2: Convert to fraction form
    6,905.53/9,529.60 = 3,921.22/x
  3. Step 3: Cross multiply
    6,905.53x = 9,529.60 × 3,921.22
  4. Step 4: Simplify right side
    6,905.53x = 37,367,590.86
  5. Step 5: Solve for x
    x = 37,367,590.86/6,905.53
  6. Step 6: Final answer
    x = 5,411.26

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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.