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Finding the Fourth Proportional to 9,480.26, 13,083.65 and 5,447.63

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Solution

The fourth proportional to 9,480.26, 13,083.65 and 5,447.63 is: 7,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.26 : 13,083.65 = 5,447.63 : x
  2. Step 2: Convert to fraction form
    9,480.26/13,083.65 = 5,447.63/x
  3. Step 3: Cross multiply
    9,480.26x = 13,083.65 × 5,447.63
  4. Step 4: Simplify right side
    9,480.26x = 71,274,791.59
  5. Step 5: Solve for x
    x = 71,274,791.59/9,480.26
  6. Step 6: Final answer
    x = 7,518.24

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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.