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Finding the Fourth Proportional to 9,476.38, 14,204.64 and 5,310.28

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Solution

The fourth proportional to 9,476.38, 14,204.64 and 5,310.28 is: 7,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.38 : 14,204.64 = 5,310.28 : x
  2. Step 2: Convert to fraction form
    9,476.38/14,204.64 = 5,310.28/x
  3. Step 3: Cross multiply
    9,476.38x = 14,204.64 × 5,310.28
  4. Step 4: Simplify right side
    9,476.38x = 75,430,615.70
  5. Step 5: Solve for x
    x = 75,430,615.70/9,476.38
  6. Step 6: Final answer
    x = 7,959.86

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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.