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Finding the Fourth Proportional to 9,525.44, 13,151.22 and 6,540.32

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Solution

The fourth proportional to 9,525.44, 13,151.22 and 6,540.32 is: 9,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.44 : 13,151.22 = 6,540.32 : x
  2. Step 2: Convert to fraction form
    9,525.44/13,151.22 = 6,540.32/x
  3. Step 3: Cross multiply
    9,525.44x = 13,151.22 × 6,540.32
  4. Step 4: Simplify right side
    9,525.44x = 86,013,187.19
  5. Step 5: Solve for x
    x = 86,013,187.19/9,525.44
  6. Step 6: Final answer
    x = 9,029.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.