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Finding the Fourth Proportional to 9,357.63, 14,040.83 and 4,091.96

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Solution

The fourth proportional to 9,357.63, 14,040.83 and 4,091.96 is: 6,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.63 : 14,040.83 = 4,091.96 : x
  2. Step 2: Convert to fraction form
    9,357.63/14,040.83 = 4,091.96/x
  3. Step 3: Cross multiply
    9,357.63x = 14,040.83 × 4,091.96
  4. Step 4: Simplify right side
    9,357.63x = 57,454,424.06
  5. Step 5: Solve for x
    x = 57,454,424.06/9,357.63
  6. Step 6: Final answer
    x = 6,139.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.