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Finding the Fourth Proportional to 6,873.38, 9,485.15 and 4,041.07

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Solution

The fourth proportional to 6,873.38, 9,485.15 and 4,041.07 is: 5,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.38 : 9,485.15 = 4,041.07 : x
  2. Step 2: Convert to fraction form
    6,873.38/9,485.15 = 4,041.07/x
  3. Step 3: Cross multiply
    6,873.38x = 9,485.15 × 4,041.07
  4. Step 4: Simplify right side
    6,873.38x = 38,330,177.07
  5. Step 5: Solve for x
    x = 38,330,177.07/6,873.38
  6. Step 6: Final answer
    x = 5,576.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.