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Finding the Fourth Proportional to 9,190.50, 12,685.74 and 6,835.84

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Solution

The fourth proportional to 9,190.50, 12,685.74 and 6,835.84 is: 9,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.50 : 12,685.74 = 6,835.84 : x
  2. Step 2: Convert to fraction form
    9,190.50/12,685.74 = 6,835.84/x
  3. Step 3: Cross multiply
    9,190.50x = 12,685.74 × 6,835.84
  4. Step 4: Simplify right side
    9,190.50x = 86,717,688.92
  5. Step 5: Solve for x
    x = 86,717,688.92/9,190.50
  6. Step 6: Final answer
    x = 9,435.58

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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.