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Finding the Fourth Proportional to 9,488.39, 13,093.98 and 5,296.64

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Solution

The fourth proportional to 9,488.39, 13,093.98 and 5,296.64 is: 7,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.39 : 13,093.98 = 5,296.64 : x
  2. Step 2: Convert to fraction form
    9,488.39/13,093.98 = 5,296.64/x
  3. Step 3: Cross multiply
    9,488.39x = 13,093.98 × 5,296.64
  4. Step 4: Simplify right side
    9,488.39x = 69,354,101.45
  5. Step 5: Solve for x
    x = 69,354,101.45/9,488.39
  6. Step 6: Final answer
    x = 7,309.36

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Why These Related Problems?

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