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Finding the Fourth Proportional to 9,044.60, 13,556.10 and 3,779.60

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Solution

The fourth proportional to 9,044.60, 13,556.10 and 3,779.60 is: 5,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.60 : 13,556.10 = 3,779.60 : x
  2. Step 2: Convert to fraction form
    9,044.60/13,556.10 = 3,779.60/x
  3. Step 3: Cross multiply
    9,044.60x = 13,556.10 × 3,779.60
  4. Step 4: Simplify right side
    9,044.60x = 51,236,635.56
  5. Step 5: Solve for x
    x = 51,236,635.56/9,044.60
  6. Step 6: Final answer
    x = 5,664.89

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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.