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Finding the Fourth Proportional to 9,618.44, 14,434.14 and 3,774.36

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Solution

The fourth proportional to 9,618.44, 14,434.14 and 3,774.36 is: 5,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.44 : 14,434.14 = 3,774.36 : x
  2. Step 2: Convert to fraction form
    9,618.44/14,434.14 = 3,774.36/x
  3. Step 3: Cross multiply
    9,618.44x = 14,434.14 × 3,774.36
  4. Step 4: Simplify right side
    9,618.44x = 54,479,640.65
  5. Step 5: Solve for x
    x = 54,479,640.65/9,618.44
  6. Step 6: Final answer
    x = 5,664.08

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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.