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Finding the Fourth Proportional to 9,527.80, 13,148.22 and 5,336.20

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Solution

The fourth proportional to 9,527.80, 13,148.22 and 5,336.20 is: 7,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.80 : 13,148.22 = 5,336.20 : x
  2. Step 2: Convert to fraction form
    9,527.80/13,148.22 = 5,336.20/x
  3. Step 3: Cross multiply
    9,527.80x = 13,148.22 × 5,336.20
  4. Step 4: Simplify right side
    9,527.80x = 70,161,531.56
  5. Step 5: Solve for x
    x = 70,161,531.56/9,527.80
  6. Step 6: Final answer
    x = 7,363.88

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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.