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Finding the Fourth Proportional to 6,592.06, 9,097.27 and 3,759.86

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Solution

The fourth proportional to 6,592.06, 9,097.27 and 3,759.86 is: 5,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.06 : 9,097.27 = 3,759.86 : x
  2. Step 2: Convert to fraction form
    6,592.06/9,097.27 = 3,759.86/x
  3. Step 3: Cross multiply
    6,592.06x = 9,097.27 × 3,759.86
  4. Step 4: Simplify right side
    6,592.06x = 34,204,461.58
  5. Step 5: Solve for x
    x = 34,204,461.58/6,592.06
  6. Step 6: Final answer
    x = 5,188.74

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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.