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Finding the Fourth Proportional to 9,462.21, 13,057.22 and 5,683.13

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Solution

The fourth proportional to 9,462.21, 13,057.22 and 5,683.13 is: 7,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.21 : 13,057.22 = 5,683.13 : x
  2. Step 2: Convert to fraction form
    9,462.21/13,057.22 = 5,683.13/x
  3. Step 3: Cross multiply
    9,462.21x = 13,057.22 × 5,683.13
  4. Step 4: Simplify right side
    9,462.21x = 74,205,827.62
  5. Step 5: Solve for x
    x = 74,205,827.62/9,462.21
  6. Step 6: Final answer
    x = 7,842.34

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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.