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Finding the Fourth Proportional to 9,719, 14,576.08 and 4,171.72

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Solution

The fourth proportional to 9,719, 14,576.08 and 4,171.72 is: 6,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719 : 14,576.08 = 4,171.72 : x
  2. Step 2: Convert to fraction form
    9,719/14,576.08 = 4,171.72/x
  3. Step 3: Cross multiply
    9,719x = 14,576.08 × 4,171.72
  4. Step 4: Simplify right side
    9,719x = 60,807,324.46
  5. Step 5: Solve for x
    x = 60,807,324.46/9,719
  6. Step 6: Final answer
    x = 6,256.54

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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.