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Finding the Fourth Proportional to 9,114.61, 13,676.09 and 4,118.32

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Solution

The fourth proportional to 9,114.61, 13,676.09 and 4,118.32 is: 6,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.61 : 13,676.09 = 4,118.32 : x
  2. Step 2: Convert to fraction form
    9,114.61/13,676.09 = 4,118.32/x
  3. Step 3: Cross multiply
    9,114.61x = 13,676.09 × 4,118.32
  4. Step 4: Simplify right side
    9,114.61x = 56,322,514.97
  5. Step 5: Solve for x
    x = 56,322,514.97/9,114.61
  6. Step 6: Final answer
    x = 6,179.37

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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.