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Finding the Fourth Proportional to 9,813.62, 13,546.28 and 5,834.72

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Solution

The fourth proportional to 9,813.62, 13,546.28 and 5,834.72 is: 8,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.62 : 13,546.28 = 5,834.72 : x
  2. Step 2: Convert to fraction form
    9,813.62/13,546.28 = 5,834.72/x
  3. Step 3: Cross multiply
    9,813.62x = 13,546.28 × 5,834.72
  4. Step 4: Simplify right side
    9,813.62x = 79,038,653.94
  5. Step 5: Solve for x
    x = 79,038,653.94/9,813.62
  6. Step 6: Final answer
    x = 8,053.97

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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.