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Finding the Fourth Proportional to 8,433.69, 12,657.42 and 5,970.90

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Solution

The fourth proportional to 8,433.69, 12,657.42 and 5,970.90 is: 8,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.69 : 12,657.42 = 5,970.90 : x
  2. Step 2: Convert to fraction form
    8,433.69/12,657.42 = 5,970.90/x
  3. Step 3: Cross multiply
    8,433.69x = 12,657.42 × 5,970.90
  4. Step 4: Simplify right side
    8,433.69x = 75,576,189.08
  5. Step 5: Solve for x
    x = 75,576,189.08/8,433.69
  6. Step 6: Final answer
    x = 8,961.22

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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.