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Finding the Fourth Proportional to 9,630.52, 14,439.75 and 3,780.34

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Solution

The fourth proportional to 9,630.52, 14,439.75 and 3,780.34 is: 5,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.52 : 14,439.75 = 3,780.34 : x
  2. Step 2: Convert to fraction form
    9,630.52/14,439.75 = 3,780.34/x
  3. Step 3: Cross multiply
    9,630.52x = 14,439.75 × 3,780.34
  4. Step 4: Simplify right side
    9,630.52x = 54,587,164.52
  5. Step 5: Solve for x
    x = 54,587,164.52/9,630.52
  6. Step 6: Final answer
    x = 5,668.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.