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Finding the Fourth Proportional to 9,964.54, 13,751.24 and 5,488.26

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Solution

The fourth proportional to 9,964.54, 13,751.24 and 5,488.26 is: 7,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.54 : 13,751.24 = 5,488.26 : x
  2. Step 2: Convert to fraction form
    9,964.54/13,751.24 = 5,488.26/x
  3. Step 3: Cross multiply
    9,964.54x = 13,751.24 × 5,488.26
  4. Step 4: Simplify right side
    9,964.54x = 75,470,301.43
  5. Step 5: Solve for x
    x = 75,470,301.43/9,964.54
  6. Step 6: Final answer
    x = 7,573.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.