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Finding the Fourth Proportional to 6,872.23, 9,484.05 and 4,040.47

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Solution

The fourth proportional to 6,872.23, 9,484.05 and 4,040.47 is: 5,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.23 : 9,484.05 = 4,040.47 : x
  2. Step 2: Convert to fraction form
    6,872.23/9,484.05 = 4,040.47/x
  3. Step 3: Cross multiply
    6,872.23x = 9,484.05 × 4,040.47
  4. Step 4: Simplify right side
    6,872.23x = 38,320,019.50
  5. Step 5: Solve for x
    x = 38,320,019.50/6,872.23
  6. Step 6: Final answer
    x = 5,576.07

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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.