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Finding the Fourth Proportional to 6,133.45, 9,198.33 and 2,184

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Solution

The fourth proportional to 6,133.45, 9,198.33 and 2,184 is: 3,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.45 : 9,198.33 = 2,184 : x
  2. Step 2: Convert to fraction form
    6,133.45/9,198.33 = 2,184/x
  3. Step 3: Cross multiply
    6,133.45x = 9,198.33 × 2,184
  4. Step 4: Simplify right side
    6,133.45x = 20,089,152.72
  5. Step 5: Solve for x
    x = 20,089,152.72/6,133.45
  6. Step 6: Final answer
    x = 3,275.35

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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.