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Finding the Fourth Proportional to 9,678.53, 14,517.48 and 2,753.03

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Solution

The fourth proportional to 9,678.53, 14,517.48 and 2,753.03 is: 4,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.53 : 14,517.48 = 2,753.03 : x
  2. Step 2: Convert to fraction form
    9,678.53/14,517.48 = 2,753.03/x
  3. Step 3: Cross multiply
    9,678.53x = 14,517.48 × 2,753.03
  4. Step 4: Simplify right side
    9,678.53x = 39,967,057.96
  5. Step 5: Solve for x
    x = 39,967,057.96/9,678.53
  6. Step 6: Final answer
    x = 4,129.46

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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.