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Finding the Fourth Proportional to 9,706.78, 14,561.88 and 6,422.56

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Solution

The fourth proportional to 9,706.78, 14,561.88 and 6,422.56 is: 9,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.78 : 14,561.88 = 6,422.56 : x
  2. Step 2: Convert to fraction form
    9,706.78/14,561.88 = 6,422.56/x
  3. Step 3: Cross multiply
    9,706.78x = 14,561.88 × 6,422.56
  4. Step 4: Simplify right side
    9,706.78x = 93,524,548.01
  5. Step 5: Solve for x
    x = 93,524,548.01/9,706.78
  6. Step 6: Final answer
    x = 9,634.97

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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.