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Finding the Fourth Proportional to 9,610.36, 14,411.01 and 4,932.61

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Solution

The fourth proportional to 9,610.36, 14,411.01 and 4,932.61 is: 7,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.36 : 14,411.01 = 4,932.61 : x
  2. Step 2: Convert to fraction form
    9,610.36/14,411.01 = 4,932.61/x
  3. Step 3: Cross multiply
    9,610.36x = 14,411.01 × 4,932.61
  4. Step 4: Simplify right side
    9,610.36x = 71,083,892.04
  5. Step 5: Solve for x
    x = 71,083,892.04/9,610.36
  6. Step 6: Final answer
    x = 7,396.59

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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.