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Finding the Fourth Proportional to 9,532.56, 13,152.84 and 5,755.92

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Solution

The fourth proportional to 9,532.56, 13,152.84 and 5,755.92 is: 7,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.56 : 13,152.84 = 5,755.92 : x
  2. Step 2: Convert to fraction form
    9,532.56/13,152.84 = 5,755.92/x
  3. Step 3: Cross multiply
    9,532.56x = 13,152.84 × 5,755.92
  4. Step 4: Simplify right side
    9,532.56x = 75,706,694.81
  5. Step 5: Solve for x
    x = 75,706,694.81/9,532.56
  6. Step 6: Final answer
    x = 7,941.91

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