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Finding the Fourth Proportional to 6,420.34, 9,633.39 and 2,725.12

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Solution

The fourth proportional to 6,420.34, 9,633.39 and 2,725.12 is: 4,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.34 : 9,633.39 = 2,725.12 : x
  2. Step 2: Convert to fraction form
    6,420.34/9,633.39 = 2,725.12/x
  3. Step 3: Cross multiply
    6,420.34x = 9,633.39 × 2,725.12
  4. Step 4: Simplify right side
    6,420.34x = 26,252,143.76
  5. Step 5: Solve for x
    x = 26,252,143.76/6,420.34
  6. Step 6: Final answer
    x = 4,088.90

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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.