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Finding the Fourth Proportional to 9,884.46, 13,645.50 and 7,641.26

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Solution

The fourth proportional to 9,884.46, 13,645.50 and 7,641.26 is: 10,548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.46 : 13,645.50 = 7,641.26 : x
  2. Step 2: Convert to fraction form
    9,884.46/13,645.50 = 7,641.26/x
  3. Step 3: Cross multiply
    9,884.46x = 13,645.50 × 7,641.26
  4. Step 4: Simplify right side
    9,884.46x = 104,268,813.33
  5. Step 5: Solve for x
    x = 104,268,813.33/9,884.46
  6. Step 6: Final answer
    x = 10,548.76

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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.