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Finding the Fourth Proportional to 9,486.96, 14,230.50 and 3,647.64

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Solution

The fourth proportional to 9,486.96, 14,230.50 and 3,647.64 is: 5,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.96 : 14,230.50 = 3,647.64 : x
  2. Step 2: Convert to fraction form
    9,486.96/14,230.50 = 3,647.64/x
  3. Step 3: Cross multiply
    9,486.96x = 14,230.50 × 3,647.64
  4. Step 4: Simplify right side
    9,486.96x = 51,907,741.02
  5. Step 5: Solve for x
    x = 51,907,741.02/9,486.96
  6. Step 6: Final answer
    x = 5,471.48

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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.