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Finding the Fourth Proportional to 9,461.86, 13,057.20 and 5,213.32

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Solution

The fourth proportional to 9,461.86, 13,057.20 and 5,213.32 is: 7,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.86 : 13,057.20 = 5,213.32 : x
  2. Step 2: Convert to fraction form
    9,461.86/13,057.20 = 5,213.32/x
  3. Step 3: Cross multiply
    9,461.86x = 13,057.20 × 5,213.32
  4. Step 4: Simplify right side
    9,461.86x = 68,071,361.90
  5. Step 5: Solve for x
    x = 68,071,361.90/9,461.86
  6. Step 6: Final answer
    x = 7,194.29

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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.