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Finding the Fourth Proportional to 8,645.34, 11,930.31 and 6,297.42

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Solution

The fourth proportional to 8,645.34, 11,930.31 and 6,297.42 is: 8,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.34 : 11,930.31 = 6,297.42 : x
  2. Step 2: Convert to fraction form
    8,645.34/11,930.31 = 6,297.42/x
  3. Step 3: Cross multiply
    8,645.34x = 11,930.31 × 6,297.42
  4. Step 4: Simplify right side
    8,645.34x = 75,130,172.80
  5. Step 5: Solve for x
    x = 75,130,172.80/8,645.34
  6. Step 6: Final answer
    x = 8,690.25

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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.