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Finding the Fourth Proportional to 9,598.26, 13,251.33 and 6,942.90

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Solution

The fourth proportional to 9,598.26, 13,251.33 and 6,942.90 is: 9,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.26 : 13,251.33 = 6,942.90 : x
  2. Step 2: Convert to fraction form
    9,598.26/13,251.33 = 6,942.90/x
  3. Step 3: Cross multiply
    9,598.26x = 13,251.33 × 6,942.90
  4. Step 4: Simplify right side
    9,598.26x = 92,002,659.06
  5. Step 5: Solve for x
    x = 92,002,659.06/9,598.26
  6. Step 6: Final answer
    x = 9,585.35

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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.