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Finding the Fourth Proportional to 9,576.75, 14,369.99 and 4,383.93

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Solution

The fourth proportional to 9,576.75, 14,369.99 and 4,383.93 is: 6,578.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.75 : 14,369.99 = 4,383.93 : x
  2. Step 2: Convert to fraction form
    9,576.75/14,369.99 = 4,383.93/x
  3. Step 3: Cross multiply
    9,576.75x = 14,369.99 × 4,383.93
  4. Step 4: Simplify right side
    9,576.75x = 62,997,008.34
  5. Step 5: Solve for x
    x = 62,997,008.34/9,576.75
  6. Step 6: Final answer
    x = 6,578.12

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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.