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Finding the Fourth Proportional to 6,097.46, 9,144.90 and 2,586.26

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Solution

The fourth proportional to 6,097.46, 9,144.90 and 2,586.26 is: 3,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.46 : 9,144.90 = 2,586.26 : x
  2. Step 2: Convert to fraction form
    6,097.46/9,144.90 = 2,586.26/x
  3. Step 3: Cross multiply
    6,097.46x = 9,144.90 × 2,586.26
  4. Step 4: Simplify right side
    6,097.46x = 23,651,089.07
  5. Step 5: Solve for x
    x = 23,651,089.07/6,097.46
  6. Step 6: Final answer
    x = 3,878.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.