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Finding the Fourth Proportional to 9,462.08, 13,057.67 and 5,213.13

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Solution

The fourth proportional to 9,462.08, 13,057.67 and 5,213.13 is: 7,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.08 : 13,057.67 = 5,213.13 : x
  2. Step 2: Convert to fraction form
    9,462.08/13,057.67 = 5,213.13/x
  3. Step 3: Cross multiply
    9,462.08x = 13,057.67 × 5,213.13
  4. Step 4: Simplify right side
    9,462.08x = 68,071,331.21
  5. Step 5: Solve for x
    x = 68,071,331.21/9,462.08
  6. Step 6: Final answer
    x = 7,194.12

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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.