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Finding the Fourth Proportional to 9,165.21, 12,642.12 and 6,327.78

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Solution

The fourth proportional to 9,165.21, 12,642.12 and 6,327.78 is: 8,728.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.21 : 12,642.12 = 6,327.78 : x
  2. Step 2: Convert to fraction form
    9,165.21/12,642.12 = 6,327.78/x
  3. Step 3: Cross multiply
    9,165.21x = 12,642.12 × 6,327.78
  4. Step 4: Simplify right side
    9,165.21x = 79,996,554.09
  5. Step 5: Solve for x
    x = 79,996,554.09/9,165.21
  6. Step 6: Final answer
    x = 8,728.28

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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.