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Finding the Fourth Proportional to 6,113.63, 9,170.95 and 1,954.23

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Solution

The fourth proportional to 6,113.63, 9,170.95 and 1,954.23 is: 2,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.63 : 9,170.95 = 1,954.23 : x
  2. Step 2: Convert to fraction form
    6,113.63/9,170.95 = 1,954.23/x
  3. Step 3: Cross multiply
    6,113.63x = 9,170.95 × 1,954.23
  4. Step 4: Simplify right side
    6,113.63x = 17,922,145.62
  5. Step 5: Solve for x
    x = 17,922,145.62/6,113.63
  6. Step 6: Final answer
    x = 2,931.51

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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.