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Finding the Fourth Proportional to 10,327.48, 14,253.10 and 9,694.12

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Solution

The fourth proportional to 10,327.48, 14,253.10 and 9,694.12 is: 13,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.48 : 14,253.10 = 9,694.12 : x
  2. Step 2: Convert to fraction form
    10,327.48/14,253.10 = 9,694.12/x
  3. Step 3: Cross multiply
    10,327.48x = 14,253.10 × 9,694.12
  4. Step 4: Simplify right side
    10,327.48x = 138,171,261.77
  5. Step 5: Solve for x
    x = 138,171,261.77/10,327.48
  6. Step 6: Final answer
    x = 13,378.99

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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.