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Finding the Fourth Proportional to 9,136.55, 13,710.31 and 3,942.42

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Solution

The fourth proportional to 9,136.55, 13,710.31 and 3,942.42 is: 5,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.55 : 13,710.31 = 3,942.42 : x
  2. Step 2: Convert to fraction form
    9,136.55/13,710.31 = 3,942.42/x
  3. Step 3: Cross multiply
    9,136.55x = 13,710.31 × 3,942.42
  4. Step 4: Simplify right side
    9,136.55x = 54,051,838.38
  5. Step 5: Solve for x
    x = 54,051,838.38/9,136.55
  6. Step 6: Final answer
    x = 5,916.00

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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.