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Finding the Fourth Proportional to 9,633.87, 14,444.66 and 7,136.60

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Solution

The fourth proportional to 9,633.87, 14,444.66 and 7,136.60 is: 10,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.87 : 14,444.66 = 7,136.60 : x
  2. Step 2: Convert to fraction form
    9,633.87/14,444.66 = 7,136.60/x
  3. Step 3: Cross multiply
    9,633.87x = 14,444.66 × 7,136.60
  4. Step 4: Simplify right side
    9,633.87x = 103,085,652.65
  5. Step 5: Solve for x
    x = 103,085,652.65/9,633.87
  6. Step 6: Final answer
    x = 10,700.34

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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.