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Finding the Fourth Proportional to 9,796.31, 14,696.94 and 4,535.11

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Solution

The fourth proportional to 9,796.31, 14,696.94 and 4,535.11 is: 6,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.31 : 14,696.94 = 4,535.11 : x
  2. Step 2: Convert to fraction form
    9,796.31/14,696.94 = 4,535.11/x
  3. Step 3: Cross multiply
    9,796.31x = 14,696.94 × 4,535.11
  4. Step 4: Simplify right side
    9,796.31x = 66,652,257.93
  5. Step 5: Solve for x
    x = 66,652,257.93/9,796.31
  6. Step 6: Final answer
    x = 6,803.82

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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.