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Finding the Fourth Proportional to 12,395.81, 17,113.37 and 9,406.41

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Solution

The fourth proportional to 12,395.81, 17,113.37 and 9,406.41 is: 12,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.81 : 17,113.37 = 9,406.41 : x
  2. Step 2: Convert to fraction form
    12,395.81/17,113.37 = 9,406.41/x
  3. Step 3: Cross multiply
    12,395.81x = 17,113.37 × 9,406.41
  4. Step 4: Simplify right side
    12,395.81x = 160,975,327.67
  5. Step 5: Solve for x
    x = 160,975,327.67/12,395.81
  6. Step 6: Final answer
    x = 12,986.27

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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.