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Finding the Fourth Proportional to 6,009.69, 9,014.86 and 1,852.56

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Solution

The fourth proportional to 6,009.69, 9,014.86 and 1,852.56 is: 2,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.69 : 9,014.86 = 1,852.56 : x
  2. Step 2: Convert to fraction form
    6,009.69/9,014.86 = 1,852.56/x
  3. Step 3: Cross multiply
    6,009.69x = 9,014.86 × 1,852.56
  4. Step 4: Simplify right side
    6,009.69x = 16,700,571.36
  5. Step 5: Solve for x
    x = 16,700,571.36/6,009.69
  6. Step 6: Final answer
    x = 2,778.94

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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.