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Finding the Fourth Proportional to 6,425.43, 9,638.95 and 2,476.58

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Solution

The fourth proportional to 6,425.43, 9,638.95 and 2,476.58 is: 3,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.43 : 9,638.95 = 2,476.58 : x
  2. Step 2: Convert to fraction form
    6,425.43/9,638.95 = 2,476.58/x
  3. Step 3: Cross multiply
    6,425.43x = 9,638.95 × 2,476.58
  4. Step 4: Simplify right side
    6,425.43x = 23,871,581.05
  5. Step 5: Solve for x
    x = 23,871,581.05/6,425.43
  6. Step 6: Final answer
    x = 3,715.17

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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.