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Finding the Fourth Proportional to 9,189.36, 13,783.68 and 2,263.68

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Solution

The fourth proportional to 9,189.36, 13,783.68 and 2,263.68 is: 3,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.36 : 13,783.68 = 2,263.68 : x
  2. Step 2: Convert to fraction form
    9,189.36/13,783.68 = 2,263.68/x
  3. Step 3: Cross multiply
    9,189.36x = 13,783.68 × 2,263.68
  4. Step 4: Simplify right side
    9,189.36x = 31,201,840.74
  5. Step 5: Solve for x
    x = 31,201,840.74/9,189.36
  6. Step 6: Final answer
    x = 3,395.43

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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.