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Finding the Fourth Proportional to 6,126, 9,188.96 and 1,743.44

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Solution

The fourth proportional to 6,126, 9,188.96 and 1,743.44 is: 2,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126 : 9,188.96 = 1,743.44 : x
  2. Step 2: Convert to fraction form
    6,126/9,188.96 = 1,743.44/x
  3. Step 3: Cross multiply
    6,126x = 9,188.96 × 1,743.44
  4. Step 4: Simplify right side
    6,126x = 16,020,400.42
  5. Step 5: Solve for x
    x = 16,020,400.42/6,126
  6. Step 6: Final answer
    x = 2,615.15

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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.