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Finding the Fourth Proportional to 9,308.06, 13,963.05 and 3,760.50

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Solution

The fourth proportional to 9,308.06, 13,963.05 and 3,760.50 is: 5,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.06 : 13,963.05 = 3,760.50 : x
  2. Step 2: Convert to fraction form
    9,308.06/13,963.05 = 3,760.50/x
  3. Step 3: Cross multiply
    9,308.06x = 13,963.05 × 3,760.50
  4. Step 4: Simplify right side
    9,308.06x = 52,508,049.53
  5. Step 5: Solve for x
    x = 52,508,049.53/9,308.06
  6. Step 6: Final answer
    x = 5,641.14

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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.