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Finding the Fourth Proportional to 6,835.52, 9,438.07 and 4,186.54

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Solution

The fourth proportional to 6,835.52, 9,438.07 and 4,186.54 is: 5,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.52 : 9,438.07 = 4,186.54 : x
  2. Step 2: Convert to fraction form
    6,835.52/9,438.07 = 4,186.54/x
  3. Step 3: Cross multiply
    6,835.52x = 9,438.07 × 4,186.54
  4. Step 4: Simplify right side
    6,835.52x = 39,512,857.58
  5. Step 5: Solve for x
    x = 39,512,857.58/6,835.52
  6. Step 6: Final answer
    x = 5,780.52

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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.