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Finding the Fourth Proportional to 8,437.72, 11,643.87 and 4,609.23

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Solution

The fourth proportional to 8,437.72, 11,643.87 and 4,609.23 is: 6,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.72 : 11,643.87 = 4,609.23 : x
  2. Step 2: Convert to fraction form
    8,437.72/11,643.87 = 4,609.23/x
  3. Step 3: Cross multiply
    8,437.72x = 11,643.87 × 4,609.23
  4. Step 4: Simplify right side
    8,437.72x = 53,669,251.87
  5. Step 5: Solve for x
    x = 53,669,251.87/8,437.72
  6. Step 6: Final answer
    x = 6,360.63

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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.