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Finding the Fourth Proportional to 9,741.25, 14,587.98 and 9,493.39

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Solution

The fourth proportional to 9,741.25, 14,587.98 and 9,493.39 is: 14,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.25 : 14,587.98 = 9,493.39 : x
  2. Step 2: Convert to fraction form
    9,741.25/14,587.98 = 9,493.39/x
  3. Step 3: Cross multiply
    9,741.25x = 14,587.98 × 9,493.39
  4. Step 4: Simplify right side
    9,741.25x = 138,489,383.45
  5. Step 5: Solve for x
    x = 138,489,383.45/9,741.25
  6. Step 6: Final answer
    x = 14,216.80

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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.