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Finding the Fourth Proportional to 9,438.41, 13,027.49 and 6,453.15

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Solution

The fourth proportional to 9,438.41, 13,027.49 and 6,453.15 is: 8,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.41 : 13,027.49 = 6,453.15 : x
  2. Step 2: Convert to fraction form
    9,438.41/13,027.49 = 6,453.15/x
  3. Step 3: Cross multiply
    9,438.41x = 13,027.49 × 6,453.15
  4. Step 4: Simplify right side
    9,438.41x = 84,068,314.83
  5. Step 5: Solve for x
    x = 84,068,314.83/9,438.41
  6. Step 6: Final answer
    x = 8,907.05

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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.