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Finding the Fourth Proportional to 9,578.64, 14,359.44 and 3,739.34

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Solution

The fourth proportional to 9,578.64, 14,359.44 and 3,739.34 is: 5,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.64 : 14,359.44 = 3,739.34 : x
  2. Step 2: Convert to fraction form
    9,578.64/14,359.44 = 3,739.34/x
  3. Step 3: Cross multiply
    9,578.64x = 14,359.44 × 3,739.34
  4. Step 4: Simplify right side
    9,578.64x = 53,694,828.37
  5. Step 5: Solve for x
    x = 53,694,828.37/9,578.64
  6. Step 6: Final answer
    x = 5,605.68

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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.