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Finding the Fourth Proportional to 6,907.92, 9,537.84 and 4,256.16

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Solution

The fourth proportional to 6,907.92, 9,537.84 and 4,256.16 is: 5,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.92 : 9,537.84 = 4,256.16 : x
  2. Step 2: Convert to fraction form
    6,907.92/9,537.84 = 4,256.16/x
  3. Step 3: Cross multiply
    6,907.92x = 9,537.84 × 4,256.16
  4. Step 4: Simplify right side
    6,907.92x = 40,594,573.09
  5. Step 5: Solve for x
    x = 40,594,573.09/6,907.92
  6. Step 6: Final answer
    x = 5,876.53

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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.