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Finding the Fourth Proportional to 9,754.34, 14,626.26 and 3,089.61

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Solution

The fourth proportional to 9,754.34, 14,626.26 and 3,089.61 is: 4,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.34 : 14,626.26 = 3,089.61 : x
  2. Step 2: Convert to fraction form
    9,754.34/14,626.26 = 3,089.61/x
  3. Step 3: Cross multiply
    9,754.34x = 14,626.26 × 3,089.61
  4. Step 4: Simplify right side
    9,754.34x = 45,189,439.16
  5. Step 5: Solve for x
    x = 45,189,439.16/9,754.34
  6. Step 6: Final answer
    x = 4,632.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.