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Finding the Fourth Proportional to 9,136.70, 13,695.60 and 4,967.90

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Solution

The fourth proportional to 9,136.70, 13,695.60 and 4,967.90 is: 7,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.70 : 13,695.60 = 4,967.90 : x
  2. Step 2: Convert to fraction form
    9,136.70/13,695.60 = 4,967.90/x
  3. Step 3: Cross multiply
    9,136.70x = 13,695.60 × 4,967.90
  4. Step 4: Simplify right side
    9,136.70x = 68,038,371.24
  5. Step 5: Solve for x
    x = 68,038,371.24/9,136.70
  6. Step 6: Final answer
    x = 7,446.71

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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.