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Finding the Fourth Proportional to 9,308.50, 13,965.27 and 3,152.50

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Solution

The fourth proportional to 9,308.50, 13,965.27 and 3,152.50 is: 4,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.50 : 13,965.27 = 3,152.50 : x
  2. Step 2: Convert to fraction form
    9,308.50/13,965.27 = 3,152.50/x
  3. Step 3: Cross multiply
    9,308.50x = 13,965.27 × 3,152.50
  4. Step 4: Simplify right side
    9,308.50x = 44,025,513.68
  5. Step 5: Solve for x
    x = 44,025,513.68/9,308.50
  6. Step 6: Final answer
    x = 4,729.60

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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.