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Finding the Fourth Proportional to 9,490.16, 13,096.34 and 5,241.22

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Solution

The fourth proportional to 9,490.16, 13,096.34 and 5,241.22 is: 7,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.16 : 13,096.34 = 5,241.22 : x
  2. Step 2: Convert to fraction form
    9,490.16/13,096.34 = 5,241.22/x
  3. Step 3: Cross multiply
    9,490.16x = 13,096.34 × 5,241.22
  4. Step 4: Simplify right side
    9,490.16x = 68,640,799.13
  5. Step 5: Solve for x
    x = 68,640,799.13/9,490.16
  6. Step 6: Final answer
    x = 7,232.84

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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.