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Finding the Fourth Proportional to 6,316.38, 9,468 and 3,186.90

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Solution

The fourth proportional to 6,316.38, 9,468 and 3,186.90 is: 4,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.38 : 9,468 = 3,186.90 : x
  2. Step 2: Convert to fraction form
    6,316.38/9,468 = 3,186.90/x
  3. Step 3: Cross multiply
    6,316.38x = 9,468 × 3,186.90
  4. Step 4: Simplify right side
    6,316.38x = 30,173,569.20
  5. Step 5: Solve for x
    x = 30,173,569.20/6,316.38
  6. Step 6: Final answer
    x = 4,777.04

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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.