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Finding the Fourth Proportional to 6,145.88, 9,228.02 and 3,516.35

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Solution

The fourth proportional to 6,145.88, 9,228.02 and 3,516.35 is: 5,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.88 : 9,228.02 = 3,516.35 : x
  2. Step 2: Convert to fraction form
    6,145.88/9,228.02 = 3,516.35/x
  3. Step 3: Cross multiply
    6,145.88x = 9,228.02 × 3,516.35
  4. Step 4: Simplify right side
    6,145.88x = 32,448,884.41
  5. Step 5: Solve for x
    x = 32,448,884.41/6,145.88
  6. Step 6: Final answer
    x = 5,279.78

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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.