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Finding the Fourth Proportional to 6,324.52, 9,487.25 and 2,428.93

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Solution

The fourth proportional to 6,324.52, 9,487.25 and 2,428.93 is: 3,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.52 : 9,487.25 = 2,428.93 : x
  2. Step 2: Convert to fraction form
    6,324.52/9,487.25 = 2,428.93/x
  3. Step 3: Cross multiply
    6,324.52x = 9,487.25 × 2,428.93
  4. Step 4: Simplify right side
    6,324.52x = 23,043,866.14
  5. Step 5: Solve for x
    x = 23,043,866.14/6,324.52
  6. Step 6: Final answer
    x = 3,643.58

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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.