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Finding the Fourth Proportional to 9,576, 13,211.64 and 6,040.08

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Solution

The fourth proportional to 9,576, 13,211.64 and 6,040.08 is: 8,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 13,211.64 = 6,040.08 : x
  2. Step 2: Convert to fraction form
    9,576/13,211.64 = 6,040.08/x
  3. Step 3: Cross multiply
    9,576x = 13,211.64 × 6,040.08
  4. Step 4: Simplify right side
    9,576x = 79,799,362.53
  5. Step 5: Solve for x
    x = 79,799,362.53/9,576
  6. Step 6: Final answer
    x = 8,333.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.