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Finding the Fourth Proportional to 6,324.32, 9,487.67 and 2,428.40

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Solution

The fourth proportional to 6,324.32, 9,487.67 and 2,428.40 is: 3,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.32 : 9,487.67 = 2,428.40 : x
  2. Step 2: Convert to fraction form
    6,324.32/9,487.67 = 2,428.40/x
  3. Step 3: Cross multiply
    6,324.32x = 9,487.67 × 2,428.40
  4. Step 4: Simplify right side
    6,324.32x = 23,039,798.25
  5. Step 5: Solve for x
    x = 23,039,798.25/6,324.32
  6. Step 6: Final answer
    x = 3,643.05

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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.