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Finding the Fourth Proportional to 11,914.37, 16,442.27 and 7,197.74

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Solution

The fourth proportional to 11,914.37, 16,442.27 and 7,197.74 is: 9,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.37 : 16,442.27 = 7,197.74 : x
  2. Step 2: Convert to fraction form
    11,914.37/16,442.27 = 7,197.74/x
  3. Step 3: Cross multiply
    11,914.37x = 16,442.27 × 7,197.74
  4. Step 4: Simplify right side
    11,914.37x = 118,347,211.29
  5. Step 5: Solve for x
    x = 118,347,211.29/11,914.37
  6. Step 6: Final answer
    x = 9,933.15

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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.