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Finding the Fourth Proportional to 6,014.34, 9,021.66 and 1,854.39

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Solution

The fourth proportional to 6,014.34, 9,021.66 and 1,854.39 is: 2,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.34 : 9,021.66 = 1,854.39 : x
  2. Step 2: Convert to fraction form
    6,014.34/9,021.66 = 1,854.39/x
  3. Step 3: Cross multiply
    6,014.34x = 9,021.66 × 1,854.39
  4. Step 4: Simplify right side
    6,014.34x = 16,729,676.09
  5. Step 5: Solve for x
    x = 16,729,676.09/6,014.34
  6. Step 6: Final answer
    x = 2,781.63

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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.