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Finding the Fourth Proportional to 9,717.99, 14,576.51 and 3,144.03

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Solution

The fourth proportional to 9,717.99, 14,576.51 and 3,144.03 is: 4,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.99 : 14,576.51 = 3,144.03 : x
  2. Step 2: Convert to fraction form
    9,717.99/14,576.51 = 3,144.03/x
  3. Step 3: Cross multiply
    9,717.99x = 14,576.51 × 3,144.03
  4. Step 4: Simplify right side
    9,717.99x = 45,828,969.02
  5. Step 5: Solve for x
    x = 45,828,969.02/9,717.99
  6. Step 6: Final answer
    x = 4,715.89

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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.