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Finding the Fourth Proportional to 9,276.04, 12,793.71 and 5,741.20

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Solution

The fourth proportional to 9,276.04, 12,793.71 and 5,741.20 is: 7,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.04 : 12,793.71 = 5,741.20 : x
  2. Step 2: Convert to fraction form
    9,276.04/12,793.71 = 5,741.20/x
  3. Step 3: Cross multiply
    9,276.04x = 12,793.71 × 5,741.20
  4. Step 4: Simplify right side
    9,276.04x = 73,451,247.85
  5. Step 5: Solve for x
    x = 73,451,247.85/9,276.04
  6. Step 6: Final answer
    x = 7,918.38

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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.