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Finding the Fourth Proportional to 9,301.36, 12,834.43 and 5,947.15

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Solution

The fourth proportional to 9,301.36, 12,834.43 and 5,947.15 is: 8,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.36 : 12,834.43 = 5,947.15 : x
  2. Step 2: Convert to fraction form
    9,301.36/12,834.43 = 5,947.15/x
  3. Step 3: Cross multiply
    9,301.36x = 12,834.43 × 5,947.15
  4. Step 4: Simplify right side
    9,301.36x = 76,328,280.37
  5. Step 5: Solve for x
    x = 76,328,280.37/9,301.36
  6. Step 6: Final answer
    x = 8,206.14

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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.