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Finding the Fourth Proportional to 9,189.36, 13,775.64 and 3,344.68

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Solution

The fourth proportional to 9,189.36, 13,775.64 and 3,344.68 is: 5,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.36 : 13,775.64 = 3,344.68 : x
  2. Step 2: Convert to fraction form
    9,189.36/13,775.64 = 3,344.68/x
  3. Step 3: Cross multiply
    9,189.36x = 13,775.64 × 3,344.68
  4. Step 4: Simplify right side
    9,189.36x = 46,075,107.60
  5. Step 5: Solve for x
    x = 46,075,107.60/9,189.36
  6. Step 6: Final answer
    x = 5,013.96

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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.