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Finding the Fourth Proportional to 6,272, 9,408 and 3,536

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Solution

The fourth proportional to 6,272, 9,408 and 3,536 is: 5,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272 : 9,408 = 3,536 : x
  2. Step 2: Convert to fraction form
    6,272/9,408 = 3,536/x
  3. Step 3: Cross multiply
    6,272x = 9,408 × 3,536
  4. Step 4: Simplify right side
    6,272x = 33,266,688
  5. Step 5: Solve for x
    x = 33,266,688/6,272
  6. Step 6: Final answer
    x = 5,304

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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.