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Finding the Fourth Proportional to 9,487.64, 14,233.77 and 4,493.43

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Solution

The fourth proportional to 9,487.64, 14,233.77 and 4,493.43 is: 6,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.64 : 14,233.77 = 4,493.43 : x
  2. Step 2: Convert to fraction form
    9,487.64/14,233.77 = 4,493.43/x
  3. Step 3: Cross multiply
    9,487.64x = 14,233.77 × 4,493.43
  4. Step 4: Simplify right side
    9,487.64x = 63,958,449.13
  5. Step 5: Solve for x
    x = 63,958,449.13/9,487.64
  6. Step 6: Final answer
    x = 6,741.24

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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.