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Finding the Fourth Proportional to 9,444.74, 14,164.09 and 3,118.21

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Solution

The fourth proportional to 9,444.74, 14,164.09 and 3,118.21 is: 4,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.74 : 14,164.09 = 3,118.21 : x
  2. Step 2: Convert to fraction form
    9,444.74/14,164.09 = 3,118.21/x
  3. Step 3: Cross multiply
    9,444.74x = 14,164.09 × 3,118.21
  4. Step 4: Simplify right side
    9,444.74x = 44,166,563.87
  5. Step 5: Solve for x
    x = 44,166,563.87/9,444.74
  6. Step 6: Final answer
    x = 4,676.32

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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.