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Finding the Fourth Proportional to 9,232.62, 13,824.63 and 5,526.06

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Solution

The fourth proportional to 9,232.62, 13,824.63 and 5,526.06 is: 8,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.62 : 13,824.63 = 5,526.06 : x
  2. Step 2: Convert to fraction form
    9,232.62/13,824.63 = 5,526.06/x
  3. Step 3: Cross multiply
    9,232.62x = 13,824.63 × 5,526.06
  4. Step 4: Simplify right side
    9,232.62x = 76,395,734.86
  5. Step 5: Solve for x
    x = 76,395,734.86/9,232.62
  6. Step 6: Final answer
    x = 8,274.55

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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.