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Finding the Fourth Proportional to 9,525.70, 14,290.80 and 3,975.96

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Solution

The fourth proportional to 9,525.70, 14,290.80 and 3,975.96 is: 5,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.70 : 14,290.80 = 3,975.96 : x
  2. Step 2: Convert to fraction form
    9,525.70/14,290.80 = 3,975.96/x
  3. Step 3: Cross multiply
    9,525.70x = 14,290.80 × 3,975.96
  4. Step 4: Simplify right side
    9,525.70x = 56,819,649.17
  5. Step 5: Solve for x
    x = 56,819,649.17/9,525.70
  6. Step 6: Final answer
    x = 5,964.88

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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.