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Finding the Fourth Proportional to 9,532.86, 14,294.05 and 7,571.05

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Solution

The fourth proportional to 9,532.86, 14,294.05 and 7,571.05 is: 11,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.86 : 14,294.05 = 7,571.05 : x
  2. Step 2: Convert to fraction form
    9,532.86/14,294.05 = 7,571.05/x
  3. Step 3: Cross multiply
    9,532.86x = 14,294.05 × 7,571.05
  4. Step 4: Simplify right side
    9,532.86x = 108,220,967.25
  5. Step 5: Solve for x
    x = 108,220,967.25/9,532.86
  6. Step 6: Final answer
    x = 11,352.41

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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.