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Finding the Fourth Proportional to 9,243.08, 12,764.76 and 5,887.39

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Solution

The fourth proportional to 9,243.08, 12,764.76 and 5,887.39 is: 8,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.08 : 12,764.76 = 5,887.39 : x
  2. Step 2: Convert to fraction form
    9,243.08/12,764.76 = 5,887.39/x
  3. Step 3: Cross multiply
    9,243.08x = 12,764.76 × 5,887.39
  4. Step 4: Simplify right side
    9,243.08x = 75,151,120.38
  5. Step 5: Solve for x
    x = 75,151,120.38/9,243.08
  6. Step 6: Final answer
    x = 8,130.53

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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.