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Finding the Fourth Proportional to 6,838.54, 9,437.03 and 4,005.56

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Solution

The fourth proportional to 6,838.54, 9,437.03 and 4,005.56 is: 5,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.54 : 9,437.03 = 4,005.56 : x
  2. Step 2: Convert to fraction form
    6,838.54/9,437.03 = 4,005.56/x
  3. Step 3: Cross multiply
    6,838.54x = 9,437.03 × 4,005.56
  4. Step 4: Simplify right side
    6,838.54x = 37,800,589.89
  5. Step 5: Solve for x
    x = 37,800,589.89/6,838.54
  6. Step 6: Final answer
    x = 5,527.59

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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.