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Finding the Fourth Proportional to 9,114.93, 13,672.13 and 3,777.57

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Solution

The fourth proportional to 9,114.93, 13,672.13 and 3,777.57 is: 5,666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.93 : 13,672.13 = 3,777.57 : x
  2. Step 2: Convert to fraction form
    9,114.93/13,672.13 = 3,777.57/x
  3. Step 3: Cross multiply
    9,114.93x = 13,672.13 × 3,777.57
  4. Step 4: Simplify right side
    9,114.93x = 51,647,409.24
  5. Step 5: Solve for x
    x = 51,647,409.24/9,114.93
  6. Step 6: Final answer
    x = 5,666.24

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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.