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Finding the Fourth Proportional to 6,107.43, 9,161.94 and 1,725.00

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Solution

The fourth proportional to 6,107.43, 9,161.94 and 1,725.00 is: 2,587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.43 : 9,161.94 = 1,725.00 : x
  2. Step 2: Convert to fraction form
    6,107.43/9,161.94 = 1,725.00/x
  3. Step 3: Cross multiply
    6,107.43x = 9,161.94 × 1,725.00
  4. Step 4: Simplify right side
    6,107.43x = 15,804,304.06
  5. Step 5: Solve for x
    x = 15,804,304.06/6,107.43
  6. Step 6: Final answer
    x = 2,587.72

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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.