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Finding the Fourth Proportional to 9,416.50, 12,994.90 and 5,167.46

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Solution

The fourth proportional to 9,416.50, 12,994.90 and 5,167.46 is: 7,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.50 : 12,994.90 = 5,167.46 : x
  2. Step 2: Convert to fraction form
    9,416.50/12,994.90 = 5,167.46/x
  3. Step 3: Cross multiply
    9,416.50x = 12,994.90 × 5,167.46
  4. Step 4: Simplify right side
    9,416.50x = 67,150,645.52
  5. Step 5: Solve for x
    x = 67,150,645.52/9,416.50
  6. Step 6: Final answer
    x = 7,131.17

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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.