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Finding the Fourth Proportional to 6,939.88, 9,575.92 and 4,288.16

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Solution

The fourth proportional to 6,939.88, 9,575.92 and 4,288.16 is: 5,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.88 : 9,575.92 = 4,288.16 : x
  2. Step 2: Convert to fraction form
    6,939.88/9,575.92 = 4,288.16/x
  3. Step 3: Cross multiply
    6,939.88x = 9,575.92 × 4,288.16
  4. Step 4: Simplify right side
    6,939.88x = 41,063,077.11
  5. Step 5: Solve for x
    x = 41,063,077.11/6,939.88
  6. Step 6: Final answer
    x = 5,916.97

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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.