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Finding the Fourth Proportional to 9,118.42, 13,677.64 and 6,012.29

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Solution

The fourth proportional to 9,118.42, 13,677.64 and 6,012.29 is: 9,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.42 : 13,677.64 = 6,012.29 : x
  2. Step 2: Convert to fraction form
    9,118.42/13,677.64 = 6,012.29/x
  3. Step 3: Cross multiply
    9,118.42x = 13,677.64 × 6,012.29
  4. Step 4: Simplify right side
    9,118.42x = 82,233,938.20
  5. Step 5: Solve for x
    x = 82,233,938.20/9,118.42
  6. Step 6: Final answer
    x = 9,018.44

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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.