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Finding the Fourth Proportional to 9,106.89, 13,662.15 and 2,868.48

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Solution

The fourth proportional to 9,106.89, 13,662.15 and 2,868.48 is: 4,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.89 : 13,662.15 = 2,868.48 : x
  2. Step 2: Convert to fraction form
    9,106.89/13,662.15 = 2,868.48/x
  3. Step 3: Cross multiply
    9,106.89x = 13,662.15 × 2,868.48
  4. Step 4: Simplify right side
    9,106.89x = 39,189,604.03
  5. Step 5: Solve for x
    x = 39,189,604.03/9,106.89
  6. Step 6: Final answer
    x = 4,303.29

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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.