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Finding the Fourth Proportional to 4,009.77, 6,014.39 and 1,412.37

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Solution

The fourth proportional to 4,009.77, 6,014.39 and 1,412.37 is: 2,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.77 : 6,014.39 = 1,412.37 : x
  2. Step 2: Convert to fraction form
    4,009.77/6,014.39 = 1,412.37/x
  3. Step 3: Cross multiply
    4,009.77x = 6,014.39 × 1,412.37
  4. Step 4: Simplify right side
    4,009.77x = 8,494,536.94
  5. Step 5: Solve for x
    x = 8,494,536.94/4,009.77
  6. Step 6: Final answer
    x = 2,118.46

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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.