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Finding the Fourth Proportional to 9,533.11, 14,294.42 and 7,571.30

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Solution

The fourth proportional to 9,533.11, 14,294.42 and 7,571.30 is: 11,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.11 : 14,294.42 = 7,571.30 : x
  2. Step 2: Convert to fraction form
    9,533.11/14,294.42 = 7,571.30/x
  3. Step 3: Cross multiply
    9,533.11x = 14,294.42 × 7,571.30
  4. Step 4: Simplify right side
    9,533.11x = 108,227,396.81
  5. Step 5: Solve for x
    x = 108,227,396.81/9,533.11
  6. Step 6: Final answer
    x = 11,352.79

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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.