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Finding the Fourth Proportional to 6,136.62, 9,200.73 and 4,288.74

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Solution

The fourth proportional to 6,136.62, 9,200.73 and 4,288.74 is: 6,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.62 : 9,200.73 = 4,288.74 : x
  2. Step 2: Convert to fraction form
    6,136.62/9,200.73 = 4,288.74/x
  3. Step 3: Cross multiply
    6,136.62x = 9,200.73 × 4,288.74
  4. Step 4: Simplify right side
    6,136.62x = 39,459,538.78
  5. Step 5: Solve for x
    x = 39,459,538.78/6,136.62
  6. Step 6: Final answer
    x = 6,430.17

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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.