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Finding the Fourth Proportional to 9,689.88, 13,370.64 and 5,441.16

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Solution

The fourth proportional to 9,689.88, 13,370.64 and 5,441.16 is: 7,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.88 : 13,370.64 = 5,441.16 : x
  2. Step 2: Convert to fraction form
    9,689.88/13,370.64 = 5,441.16/x
  3. Step 3: Cross multiply
    9,689.88x = 13,370.64 × 5,441.16
  4. Step 4: Simplify right side
    9,689.88x = 72,751,791.54
  5. Step 5: Solve for x
    x = 72,751,791.54/9,689.88
  6. Step 6: Final answer
    x = 7,508.02

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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.