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Finding the Fourth Proportional to 9,657.78, 14,450.22 and 6,374.85

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Solution

The fourth proportional to 9,657.78, 14,450.22 and 6,374.85 is: 9,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.78 : 14,450.22 = 6,374.85 : x
  2. Step 2: Convert to fraction form
    9,657.78/14,450.22 = 6,374.85/x
  3. Step 3: Cross multiply
    9,657.78x = 14,450.22 × 6,374.85
  4. Step 4: Simplify right side
    9,657.78x = 92,117,984.97
  5. Step 5: Solve for x
    x = 92,117,984.97/9,657.78
  6. Step 6: Final answer
    x = 9,538.22

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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.