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Finding the Fourth Proportional to 8,438.95, 11,645.69 and 4,662.36

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Solution

The fourth proportional to 8,438.95, 11,645.69 and 4,662.36 is: 6,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.95 : 11,645.69 = 4,662.36 : x
  2. Step 2: Convert to fraction form
    8,438.95/11,645.69 = 4,662.36/x
  3. Step 3: Cross multiply
    8,438.95x = 11,645.69 × 4,662.36
  4. Step 4: Simplify right side
    8,438.95x = 54,296,399.23
  5. Step 5: Solve for x
    x = 54,296,399.23/8,438.95
  6. Step 6: Final answer
    x = 6,434.02

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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.