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Finding the Fourth Proportional to 6,093.40, 9,140.20 and 1,711.10

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Solution

The fourth proportional to 6,093.40, 9,140.20 and 1,711.10 is: 2,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.40 : 9,140.20 = 1,711.10 : x
  2. Step 2: Convert to fraction form
    6,093.40/9,140.20 = 1,711.10/x
  3. Step 3: Cross multiply
    6,093.40x = 9,140.20 × 1,711.10
  4. Step 4: Simplify right side
    6,093.40x = 15,639,796.22
  5. Step 5: Solve for x
    x = 15,639,796.22/6,093.40
  6. Step 6: Final answer
    x = 2,566.68

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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.