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Finding the Fourth Proportional to 9,190.50, 12,687.35 and 6,164.52

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Solution

The fourth proportional to 9,190.50, 12,687.35 and 6,164.52 is: 8,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.50 : 12,687.35 = 6,164.52 : x
  2. Step 2: Convert to fraction form
    9,190.50/12,687.35 = 6,164.52/x
  3. Step 3: Cross multiply
    9,190.50x = 12,687.35 × 6,164.52
  4. Step 4: Simplify right side
    9,190.50x = 78,211,392.00
  5. Step 5: Solve for x
    x = 78,211,392.00/9,190.50
  6. Step 6: Final answer
    x = 8,510.03

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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.