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Finding the Fourth Proportional to 6,323.78, 9,486.12 and 2,428.18

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Solution

The fourth proportional to 6,323.78, 9,486.12 and 2,428.18 is: 3,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.78 : 9,486.12 = 2,428.18 : x
  2. Step 2: Convert to fraction form
    6,323.78/9,486.12 = 2,428.18/x
  3. Step 3: Cross multiply
    6,323.78x = 9,486.12 × 2,428.18
  4. Step 4: Simplify right side
    6,323.78x = 23,034,006.86
  5. Step 5: Solve for x
    x = 23,034,006.86/6,323.78
  6. Step 6: Final answer
    x = 3,642.45

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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.