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Finding the Fourth Proportional to 6,324.12, 9,486.64 and 2,428.52

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Solution

The fourth proportional to 6,324.12, 9,486.64 and 2,428.52 is: 3,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.12 : 9,486.64 = 2,428.52 : x
  2. Step 2: Convert to fraction form
    6,324.12/9,486.64 = 2,428.52/x
  3. Step 3: Cross multiply
    6,324.12x = 9,486.64 × 2,428.52
  4. Step 4: Simplify right side
    6,324.12x = 23,038,516.96
  5. Step 5: Solve for x
    x = 23,038,516.96/6,324.12
  6. Step 6: Final answer
    x = 3,642.96

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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.