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Finding the Fourth Proportional to 9,168.25, 12,652.20 and 4,976.50

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Solution

The fourth proportional to 9,168.25, 12,652.20 and 4,976.50 is: 6,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.25 : 12,652.20 = 4,976.50 : x
  2. Step 2: Convert to fraction form
    9,168.25/12,652.20 = 4,976.50/x
  3. Step 3: Cross multiply
    9,168.25x = 12,652.20 × 4,976.50
  4. Step 4: Simplify right side
    9,168.25x = 62,963,673.30
  5. Step 5: Solve for x
    x = 62,963,673.30/9,168.25
  6. Step 6: Final answer
    x = 6,867.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.