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Finding the Fourth Proportional to 9,071.37, 13,540.74 and 8,403.60

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Solution

The fourth proportional to 9,071.37, 13,540.74 and 8,403.60 is: 12,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.37 : 13,540.74 = 8,403.60 : x
  2. Step 2: Convert to fraction form
    9,071.37/13,540.74 = 8,403.60/x
  3. Step 3: Cross multiply
    9,071.37x = 13,540.74 × 8,403.60
  4. Step 4: Simplify right side
    9,071.37x = 113,790,962.66
  5. Step 5: Solve for x
    x = 113,790,962.66/9,071.37
  6. Step 6: Final answer
    x = 12,543.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.