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Finding the Fourth Proportional to 9,215.96, 13,822.86 and 2,642

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Solution

The fourth proportional to 9,215.96, 13,822.86 and 2,642 is: 3,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.96 : 13,822.86 = 2,642 : x
  2. Step 2: Convert to fraction form
    9,215.96/13,822.86 = 2,642/x
  3. Step 3: Cross multiply
    9,215.96x = 13,822.86 × 2,642
  4. Step 4: Simplify right side
    9,215.96x = 36,519,996.12
  5. Step 5: Solve for x
    x = 36,519,996.12/9,215.96
  6. Step 6: Final answer
    x = 3,962.69

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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.