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Finding the Fourth Proportional to 6,091.34, 9,136.93 and 3,492.42

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Solution

The fourth proportional to 6,091.34, 9,136.93 and 3,492.42 is: 5,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.34 : 9,136.93 = 3,492.42 : x
  2. Step 2: Convert to fraction form
    6,091.34/9,136.93 = 3,492.42/x
  3. Step 3: Cross multiply
    6,091.34x = 9,136.93 × 3,492.42
  4. Step 4: Simplify right side
    6,091.34x = 31,909,997.07
  5. Step 5: Solve for x
    x = 31,909,997.07/6,091.34
  6. Step 6: Final answer
    x = 5,238.58

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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.