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Finding the Fourth Proportional to 9,576, 14,368.86 and 4,383.18

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Solution

The fourth proportional to 9,576, 14,368.86 and 4,383.18 is: 6,576.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 14,368.86 = 4,383.18 : x
  2. Step 2: Convert to fraction form
    9,576/14,368.86 = 4,383.18/x
  3. Step 3: Cross multiply
    9,576x = 14,368.86 × 4,383.18
  4. Step 4: Simplify right side
    9,576x = 62,981,299.77
  5. Step 5: Solve for x
    x = 62,981,299.77/9,576
  6. Step 6: Final answer
    x = 6,576.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.