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Finding the Fourth Proportional to 6,192.50, 9,288.27 and 1,749.98

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Solution

The fourth proportional to 6,192.50, 9,288.27 and 1,749.98 is: 2,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.50 : 9,288.27 = 1,749.98 : x
  2. Step 2: Convert to fraction form
    6,192.50/9,288.27 = 1,749.98/x
  3. Step 3: Cross multiply
    6,192.50x = 9,288.27 × 1,749.98
  4. Step 4: Simplify right side
    6,192.50x = 16,254,309.96
  5. Step 5: Solve for x
    x = 16,254,309.96/6,192.50
  6. Step 6: Final answer
    x = 2,624.84

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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.