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Finding the Fourth Proportional to 6,154.81, 9,237.07 and 2,260.33

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Solution

The fourth proportional to 6,154.81, 9,237.07 and 2,260.33 is: 3,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.81 : 9,237.07 = 2,260.33 : x
  2. Step 2: Convert to fraction form
    6,154.81/9,237.07 = 2,260.33/x
  3. Step 3: Cross multiply
    6,154.81x = 9,237.07 × 2,260.33
  4. Step 4: Simplify right side
    6,154.81x = 20,878,826.43
  5. Step 5: Solve for x
    x = 20,878,826.43/6,154.81
  6. Step 6: Final answer
    x = 3,392.28

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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.