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Finding the Fourth Proportional to 9,315.73, 12,858.24 and 5,540.32

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Solution

The fourth proportional to 9,315.73, 12,858.24 and 5,540.32 is: 7,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.73 : 12,858.24 = 5,540.32 : x
  2. Step 2: Convert to fraction form
    9,315.73/12,858.24 = 5,540.32/x
  3. Step 3: Cross multiply
    9,315.73x = 12,858.24 × 5,540.32
  4. Step 4: Simplify right side
    9,315.73x = 71,238,764.24
  5. Step 5: Solve for x
    x = 71,238,764.24/9,315.73
  6. Step 6: Final answer
    x = 7,647.15

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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.