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Finding the Fourth Proportional to 4,009.26, 6,014.97 and 1,412.46

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Solution

The fourth proportional to 4,009.26, 6,014.97 and 1,412.46 is: 2,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.26 : 6,014.97 = 1,412.46 : x
  2. Step 2: Convert to fraction form
    4,009.26/6,014.97 = 1,412.46/x
  3. Step 3: Cross multiply
    4,009.26x = 6,014.97 × 1,412.46
  4. Step 4: Simplify right side
    4,009.26x = 8,495,904.53
  5. Step 5: Solve for x
    x = 8,495,904.53/4,009.26
  6. Step 6: Final answer
    x = 2,119.07

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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.