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Finding the Fourth Proportional to 9,416.75, 12,995.11 and 5,167.84

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Solution

The fourth proportional to 9,416.75, 12,995.11 and 5,167.84 is: 7,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.75 : 12,995.11 = 5,167.84 : x
  2. Step 2: Convert to fraction form
    9,416.75/12,995.11 = 5,167.84/x
  3. Step 3: Cross multiply
    9,416.75x = 12,995.11 × 5,167.84
  4. Step 4: Simplify right side
    9,416.75x = 67,156,558.45
  5. Step 5: Solve for x
    x = 67,156,558.45/9,416.75
  6. Step 6: Final answer
    x = 7,131.61

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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.