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Finding the Fourth Proportional to 6,186.42, 9,280.05 and 2,488.65

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Solution

The fourth proportional to 6,186.42, 9,280.05 and 2,488.65 is: 3,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.42 : 9,280.05 = 2,488.65 : x
  2. Step 2: Convert to fraction form
    6,186.42/9,280.05 = 2,488.65/x
  3. Step 3: Cross multiply
    6,186.42x = 9,280.05 × 2,488.65
  4. Step 4: Simplify right side
    6,186.42x = 23,094,796.43
  5. Step 5: Solve for x
    x = 23,094,796.43/6,186.42
  6. Step 6: Final answer
    x = 3,733.14

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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.