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Finding the Fourth Proportional to 9,480.14, 13,083.15 and 5,499.80

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Solution

The fourth proportional to 9,480.14, 13,083.15 and 5,499.80 is: 7,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.14 : 13,083.15 = 5,499.80 : x
  2. Step 2: Convert to fraction form
    9,480.14/13,083.15 = 5,499.80/x
  3. Step 3: Cross multiply
    9,480.14x = 13,083.15 × 5,499.80
  4. Step 4: Simplify right side
    9,480.14x = 71,954,708.37
  5. Step 5: Solve for x
    x = 71,954,708.37/9,480.14
  6. Step 6: Final answer
    x = 7,590.05

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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.