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Finding the Fourth Proportional to 9,632.61, 13,292.57 and 6,049.43

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Solution

The fourth proportional to 9,632.61, 13,292.57 and 6,049.43 is: 8,347.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.61 : 13,292.57 = 6,049.43 : x
  2. Step 2: Convert to fraction form
    9,632.61/13,292.57 = 6,049.43/x
  3. Step 3: Cross multiply
    9,632.61x = 13,292.57 × 6,049.43
  4. Step 4: Simplify right side
    9,632.61x = 80,412,375.03
  5. Step 5: Solve for x
    x = 80,412,375.03/9,632.61
  6. Step 6: Final answer
    x = 8,347.93

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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.