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Finding the Fourth Proportional to 9,958.47, 14,940.96 and 4,764.75

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Solution

The fourth proportional to 9,958.47, 14,940.96 and 4,764.75 is: 7,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.47 : 14,940.96 = 4,764.75 : x
  2. Step 2: Convert to fraction form
    9,958.47/14,940.96 = 4,764.75/x
  3. Step 3: Cross multiply
    9,958.47x = 14,940.96 × 4,764.75
  4. Step 4: Simplify right side
    9,958.47x = 71,189,939.16
  5. Step 5: Solve for x
    x = 71,189,939.16/9,958.47
  6. Step 6: Final answer
    x = 7,148.68

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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.