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Finding the Fourth Proportional to 9,649.59, 14,481.33 and 4,104.46

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Solution

The fourth proportional to 9,649.59, 14,481.33 and 4,104.46 is: 6,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.59 : 14,481.33 = 4,104.46 : x
  2. Step 2: Convert to fraction form
    9,649.59/14,481.33 = 4,104.46/x
  3. Step 3: Cross multiply
    9,649.59x = 14,481.33 × 4,104.46
  4. Step 4: Simplify right side
    9,649.59x = 59,438,039.73
  5. Step 5: Solve for x
    x = 59,438,039.73/9,649.59
  6. Step 6: Final answer
    x = 6,159.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.