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Finding the Fourth Proportional to 8,619.64, 12,929.50 and 3,425.50

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Solution

The fourth proportional to 8,619.64, 12,929.50 and 3,425.50 is: 5,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.64 : 12,929.50 = 3,425.50 : x
  2. Step 2: Convert to fraction form
    8,619.64/12,929.50 = 3,425.50/x
  3. Step 3: Cross multiply
    8,619.64x = 12,929.50 × 3,425.50
  4. Step 4: Simplify right side
    8,619.64x = 44,290,002.25
  5. Step 5: Solve for x
    x = 44,290,002.25/8,619.64
  6. Step 6: Final answer
    x = 5,138.27

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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.