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Finding the Fourth Proportional to 8,643.74, 12,968.33 and 3,096.95

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Solution

The fourth proportional to 8,643.74, 12,968.33 and 3,096.95 is: 4,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.74 : 12,968.33 = 3,096.95 : x
  2. Step 2: Convert to fraction form
    8,643.74/12,968.33 = 3,096.95/x
  3. Step 3: Cross multiply
    8,643.74x = 12,968.33 × 3,096.95
  4. Step 4: Simplify right side
    8,643.74x = 40,162,189.27
  5. Step 5: Solve for x
    x = 40,162,189.27/8,643.74
  6. Step 6: Final answer
    x = 4,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.