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Finding the Fourth Proportional to 9,764.80, 14,641.80 and 3,523.75

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Solution

The fourth proportional to 9,764.80, 14,641.80 and 3,523.75 is: 5,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.80 : 14,641.80 = 3,523.75 : x
  2. Step 2: Convert to fraction form
    9,764.80/14,641.80 = 3,523.75/x
  3. Step 3: Cross multiply
    9,764.80x = 14,641.80 × 3,523.75
  4. Step 4: Simplify right side
    9,764.80x = 51,594,042.75
  5. Step 5: Solve for x
    x = 51,594,042.75/9,764.80
  6. Step 6: Final answer
    x = 5,283.68

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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.