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Finding the Fourth Proportional to 9,488.40, 13,093.92 and 5,296.64

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Solution

The fourth proportional to 9,488.40, 13,093.92 and 5,296.64 is: 7,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.40 : 13,093.92 = 5,296.64 : x
  2. Step 2: Convert to fraction form
    9,488.40/13,093.92 = 5,296.64/x
  3. Step 3: Cross multiply
    9,488.40x = 13,093.92 × 5,296.64
  4. Step 4: Simplify right side
    9,488.40x = 69,353,780.43
  5. Step 5: Solve for x
    x = 69,353,780.43/9,488.40
  6. Step 6: Final answer
    x = 7,309.32

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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.