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Finding the Fourth Proportional to 9,449.30, 13,039.11 and 5,200.29

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Solution

The fourth proportional to 9,449.30, 13,039.11 and 5,200.29 is: 7,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.30 : 13,039.11 = 5,200.29 : x
  2. Step 2: Convert to fraction form
    9,449.30/13,039.11 = 5,200.29/x
  3. Step 3: Cross multiply
    9,449.30x = 13,039.11 × 5,200.29
  4. Step 4: Simplify right side
    9,449.30x = 67,807,153.34
  5. Step 5: Solve for x
    x = 67,807,153.34/9,449.30
  6. Step 6: Final answer
    x = 7,175.89

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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.