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Finding the Fourth Proportional to 9,449.96, 13,035.21 and 5,910.26

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Solution

The fourth proportional to 9,449.96, 13,035.21 and 5,910.26 is: 8,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.96 : 13,035.21 = 5,910.26 : x
  2. Step 2: Convert to fraction form
    9,449.96/13,035.21 = 5,910.26/x
  3. Step 3: Cross multiply
    9,449.96x = 13,035.21 × 5,910.26
  4. Step 4: Simplify right side
    9,449.96x = 77,041,480.25
  5. Step 5: Solve for x
    x = 77,041,480.25/9,449.96
  6. Step 6: Final answer
    x = 8,152.57

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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.