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Finding the Fourth Proportional to 9,137.99, 12,611.00 and 5,157.65

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Solution

The fourth proportional to 9,137.99, 12,611.00 and 5,157.65 is: 7,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.99 : 12,611.00 = 5,157.65 : x
  2. Step 2: Convert to fraction form
    9,137.99/12,611.00 = 5,157.65/x
  3. Step 3: Cross multiply
    9,137.99x = 12,611.00 × 5,157.65
  4. Step 4: Simplify right side
    9,137.99x = 65,043,073.99
  5. Step 5: Solve for x
    x = 65,043,073.99/9,137.99
  6. Step 6: Final answer
    x = 7,117.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.