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Finding the Fourth Proportional to 9,689.39, 13,375.42 and 6,549.83

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Solution

The fourth proportional to 9,689.39, 13,375.42 and 6,549.83 is: 9,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.39 : 13,375.42 = 6,549.83 : x
  2. Step 2: Convert to fraction form
    9,689.39/13,375.42 = 6,549.83/x
  3. Step 3: Cross multiply
    9,689.39x = 13,375.42 × 6,549.83
  4. Step 4: Simplify right side
    9,689.39x = 87,606,627.55
  5. Step 5: Solve for x
    x = 87,606,627.55/9,689.39
  6. Step 6: Final answer
    x = 9,041.51

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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.