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Finding the Fourth Proportional to 9,458.09, 13,050.19 and 5,478.97

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Solution

The fourth proportional to 9,458.09, 13,050.19 and 5,478.97 is: 7,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.09 : 13,050.19 = 5,478.97 : x
  2. Step 2: Convert to fraction form
    9,458.09/13,050.19 = 5,478.97/x
  3. Step 3: Cross multiply
    9,458.09x = 13,050.19 × 5,478.97
  4. Step 4: Simplify right side
    9,458.09x = 71,501,553.18
  5. Step 5: Solve for x
    x = 71,501,553.18/9,458.09
  6. Step 6: Final answer
    x = 7,559.83

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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.