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Finding the Fourth Proportional to 9,458.19, 13,052.34 and 5,266.44

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Solution

The fourth proportional to 9,458.19, 13,052.34 and 5,266.44 is: 7,267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.19 : 13,052.34 = 5,266.44 : x
  2. Step 2: Convert to fraction form
    9,458.19/13,052.34 = 5,266.44/x
  3. Step 3: Cross multiply
    9,458.19x = 13,052.34 × 5,266.44
  4. Step 4: Simplify right side
    9,458.19x = 68,739,365.47
  5. Step 5: Solve for x
    x = 68,739,365.47/9,458.19
  6. Step 6: Final answer
    x = 7,267.71

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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.