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Finding the Fourth Proportional to 6,324, 9,486.90 and 2,164.38

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Solution

The fourth proportional to 6,324, 9,486.90 and 2,164.38 is: 3,246.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 9,486.90 = 2,164.38 : x
  2. Step 2: Convert to fraction form
    6,324/9,486.90 = 2,164.38/x
  3. Step 3: Cross multiply
    6,324x = 9,486.90 × 2,164.38
  4. Step 4: Simplify right side
    6,324x = 20,533,256.62
  5. Step 5: Solve for x
    x = 20,533,256.62/6,324
  6. Step 6: Final answer
    x = 3,246.88

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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.