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Finding the Fourth Proportional to 9,478.54, 14,219.84 and 3,636.82

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Solution

The fourth proportional to 9,478.54, 14,219.84 and 3,636.82 is: 5,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.54 : 14,219.84 = 3,636.82 : x
  2. Step 2: Convert to fraction form
    9,478.54/14,219.84 = 3,636.82/x
  3. Step 3: Cross multiply
    9,478.54x = 14,219.84 × 3,636.82
  4. Step 4: Simplify right side
    9,478.54x = 51,714,998.51
  5. Step 5: Solve for x
    x = 51,714,998.51/9,478.54
  6. Step 6: Final answer
    x = 5,456.01

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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.