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Finding the Fourth Proportional to 6,302.84, 9,453.04 and 2,406.32

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Solution

The fourth proportional to 6,302.84, 9,453.04 and 2,406.32 is: 3,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.84 : 9,453.04 = 2,406.32 : x
  2. Step 2: Convert to fraction form
    6,302.84/9,453.04 = 2,406.32/x
  3. Step 3: Cross multiply
    6,302.84x = 9,453.04 × 2,406.32
  4. Step 4: Simplify right side
    6,302.84x = 22,747,039.21
  5. Step 5: Solve for x
    x = 22,747,039.21/6,302.84
  6. Step 6: Final answer
    x = 3,609.01

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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.