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Finding the Fourth Proportional to 9,406.95, 12,982.20 and 5,428.23

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Solution

The fourth proportional to 9,406.95, 12,982.20 and 5,428.23 is: 7,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.95 : 12,982.20 = 5,428.23 : x
  2. Step 2: Convert to fraction form
    9,406.95/12,982.20 = 5,428.23/x
  3. Step 3: Cross multiply
    9,406.95x = 12,982.20 × 5,428.23
  4. Step 4: Simplify right side
    9,406.95x = 70,470,367.51
  5. Step 5: Solve for x
    x = 70,470,367.51/9,406.95
  6. Step 6: Final answer
    x = 7,491.31

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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.