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Finding the Fourth Proportional to 6,136.54, 9,207.54 and 3,214.16

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Solution

The fourth proportional to 6,136.54, 9,207.54 and 3,214.16 is: 4,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.54 : 9,207.54 = 3,214.16 : x
  2. Step 2: Convert to fraction form
    6,136.54/9,207.54 = 3,214.16/x
  3. Step 3: Cross multiply
    6,136.54x = 9,207.54 × 3,214.16
  4. Step 4: Simplify right side
    6,136.54x = 29,594,506.77
  5. Step 5: Solve for x
    x = 29,594,506.77/6,136.54
  6. Step 6: Final answer
    x = 4,822.67

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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.