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Finding the Fourth Proportional to 6,127.34, 9,189.36 and 1,745

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Solution

The fourth proportional to 6,127.34, 9,189.36 and 1,745 is: 2,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.34 : 9,189.36 = 1,745 : x
  2. Step 2: Convert to fraction form
    6,127.34/9,189.36 = 1,745/x
  3. Step 3: Cross multiply
    6,127.34x = 9,189.36 × 1,745
  4. Step 4: Simplify right side
    6,127.34x = 16,035,433.20
  5. Step 5: Solve for x
    x = 16,035,433.20/6,127.34
  6. Step 6: Final answer
    x = 2,617.03

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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.