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Finding the Fourth Proportional to 9,815.97, 13,546.11 and 5,339.76

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Solution

The fourth proportional to 9,815.97, 13,546.11 and 5,339.76 is: 7,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.97 : 13,546.11 = 5,339.76 : x
  2. Step 2: Convert to fraction form
    9,815.97/13,546.11 = 5,339.76/x
  3. Step 3: Cross multiply
    9,815.97x = 13,546.11 × 5,339.76
  4. Step 4: Simplify right side
    9,815.97x = 72,332,976.33
  5. Step 5: Solve for x
    x = 72,332,976.33/9,815.97
  6. Step 6: Final answer
    x = 7,368.91

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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.