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Finding the Fourth Proportional to 9,527.56, 14,293.26 and 3,375.88

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Solution

The fourth proportional to 9,527.56, 14,293.26 and 3,375.88 is: 5,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.56 : 14,293.26 = 3,375.88 : x
  2. Step 2: Convert to fraction form
    9,527.56/14,293.26 = 3,375.88/x
  3. Step 3: Cross multiply
    9,527.56x = 14,293.26 × 3,375.88
  4. Step 4: Simplify right side
    9,527.56x = 48,252,330.57
  5. Step 5: Solve for x
    x = 48,252,330.57/9,527.56
  6. Step 6: Final answer
    x = 5,064.50

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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.