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Finding the Fourth Proportional to 8,438.82, 12,647.22 and 6,106.68

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Solution

The fourth proportional to 8,438.82, 12,647.22 and 6,106.68 is: 9,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.82 : 12,647.22 = 6,106.68 : x
  2. Step 2: Convert to fraction form
    8,438.82/12,647.22 = 6,106.68/x
  3. Step 3: Cross multiply
    8,438.82x = 12,647.22 × 6,106.68
  4. Step 4: Simplify right side
    8,438.82x = 77,232,525.43
  5. Step 5: Solve for x
    x = 77,232,525.43/8,438.82
  6. Step 6: Final answer
    x = 9,152.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.