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Finding the Fourth Proportional to 9,672.41, 13,350.02 and 6,134.94

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Solution

The fourth proportional to 9,672.41, 13,350.02 and 6,134.94 is: 8,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.41 : 13,350.02 = 6,134.94 : x
  2. Step 2: Convert to fraction form
    9,672.41/13,350.02 = 6,134.94/x
  3. Step 3: Cross multiply
    9,672.41x = 13,350.02 × 6,134.94
  4. Step 4: Simplify right side
    9,672.41x = 81,901,541.02
  5. Step 5: Solve for x
    x = 81,901,541.02/9,672.41
  6. Step 6: Final answer
    x = 8,467.54

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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.