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Finding the Fourth Proportional to 9,184.34, 13,774.08 and 3,989

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Solution

The fourth proportional to 9,184.34, 13,774.08 and 3,989 is: 5,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.34 : 13,774.08 = 3,989 : x
  2. Step 2: Convert to fraction form
    9,184.34/13,774.08 = 3,989/x
  3. Step 3: Cross multiply
    9,184.34x = 13,774.08 × 3,989
  4. Step 4: Simplify right side
    9,184.34x = 54,944,805.12
  5. Step 5: Solve for x
    x = 54,944,805.12/9,184.34
  6. Step 6: Final answer
    x = 5,982.44

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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.