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Finding the Fourth Proportional to 6,186.46, 9,280.14 and 1,744.78

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Solution

The fourth proportional to 6,186.46, 9,280.14 and 1,744.78 is: 2,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.46 : 9,280.14 = 1,744.78 : x
  2. Step 2: Convert to fraction form
    6,186.46/9,280.14 = 1,744.78/x
  3. Step 3: Cross multiply
    6,186.46x = 9,280.14 × 1,744.78
  4. Step 4: Simplify right side
    6,186.46x = 16,191,802.67
  5. Step 5: Solve for x
    x = 16,191,802.67/6,186.46
  6. Step 6: Final answer
    x = 2,617.30

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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.