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Finding the Fourth Proportional to 9,231.40, 13,847.10 and 4,036.06

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Solution

The fourth proportional to 9,231.40, 13,847.10 and 4,036.06 is: 6,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.40 : 13,847.10 = 4,036.06 : x
  2. Step 2: Convert to fraction form
    9,231.40/13,847.10 = 4,036.06/x
  3. Step 3: Cross multiply
    9,231.40x = 13,847.10 × 4,036.06
  4. Step 4: Simplify right side
    9,231.40x = 55,887,726.43
  5. Step 5: Solve for x
    x = 55,887,726.43/9,231.40
  6. Step 6: Final answer
    x = 6,054.09

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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.