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Finding the Fourth Proportional to 9,476.28, 14,216.04 and 4,213.17

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Solution

The fourth proportional to 9,476.28, 14,216.04 and 4,213.17 is: 6,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.28 : 14,216.04 = 4,213.17 : x
  2. Step 2: Convert to fraction form
    9,476.28/14,216.04 = 4,213.17/x
  3. Step 3: Cross multiply
    9,476.28x = 14,216.04 × 4,213.17
  4. Step 4: Simplify right side
    9,476.28x = 59,894,593.25
  5. Step 5: Solve for x
    x = 59,894,593.25/9,476.28
  6. Step 6: Final answer
    x = 6,320.48

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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.