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Finding the Fourth Proportional to 9,262.60, 12,776.23 and 6,611.50

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Solution

The fourth proportional to 9,262.60, 12,776.23 and 6,611.50 is: 9,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.60 : 12,776.23 = 6,611.50 : x
  2. Step 2: Convert to fraction form
    9,262.60/12,776.23 = 6,611.50/x
  3. Step 3: Cross multiply
    9,262.60x = 12,776.23 × 6,611.50
  4. Step 4: Simplify right side
    9,262.60x = 84,469,947.71
  5. Step 5: Solve for x
    x = 84,469,947.71/9,262.60
  6. Step 6: Final answer
    x = 9,119.47

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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.