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Finding the Fourth Proportional to 9,486.93, 14,234.49 and 3,642.18

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Solution

The fourth proportional to 9,486.93, 14,234.49 and 3,642.18 is: 5,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.93 : 14,234.49 = 3,642.18 : x
  2. Step 2: Convert to fraction form
    9,486.93/14,234.49 = 3,642.18/x
  3. Step 3: Cross multiply
    9,486.93x = 14,234.49 × 3,642.18
  4. Step 4: Simplify right side
    9,486.93x = 51,844,503.62
  5. Step 5: Solve for x
    x = 51,844,503.62/9,486.93
  6. Step 6: Final answer
    x = 5,464.84

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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.