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Finding the Fourth Proportional to 9,576.72, 14,369.40 and 5,189.04

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Solution

The fourth proportional to 9,576.72, 14,369.40 and 5,189.04 is: 7,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.72 : 14,369.40 = 5,189.04 : x
  2. Step 2: Convert to fraction form
    9,576.72/14,369.40 = 5,189.04/x
  3. Step 3: Cross multiply
    9,576.72x = 14,369.40 × 5,189.04
  4. Step 4: Simplify right side
    9,576.72x = 74,563,391.38
  5. Step 5: Solve for x
    x = 74,563,391.38/9,576.72
  6. Step 6: Final answer
    x = 7,785.90

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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.