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Finding the Fourth Proportional to 9,412.69, 12,989.76 and 5,163.94

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Solution

The fourth proportional to 9,412.69, 12,989.76 and 5,163.94 is: 7,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.69 : 12,989.76 = 5,163.94 : x
  2. Step 2: Convert to fraction form
    9,412.69/12,989.76 = 5,163.94/x
  3. Step 3: Cross multiply
    9,412.69x = 12,989.76 × 5,163.94
  4. Step 4: Simplify right side
    9,412.69x = 67,078,341.25
  5. Step 5: Solve for x
    x = 67,078,341.25/9,412.69
  6. Step 6: Final answer
    x = 7,126.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.