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Finding the Fourth Proportional to 7,229, 9,976.02 and 3,917

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Solution

The fourth proportional to 7,229, 9,976.02 and 3,917 is: 5,405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229 : 9,976.02 = 3,917 : x
  2. Step 2: Convert to fraction form
    7,229/9,976.02 = 3,917/x
  3. Step 3: Cross multiply
    7,229x = 9,976.02 × 3,917
  4. Step 4: Simplify right side
    7,229x = 39,076,070.34
  5. Step 5: Solve for x
    x = 39,076,070.34/7,229
  6. Step 6: Final answer
    x = 5,405.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.