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Finding the Fourth Proportional to 9,813.34, 13,544.38 and 5,833.68

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Solution

The fourth proportional to 9,813.34, 13,544.38 and 5,833.68 is: 8,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.34 : 13,544.38 = 5,833.68 : x
  2. Step 2: Convert to fraction form
    9,813.34/13,544.38 = 5,833.68/x
  3. Step 3: Cross multiply
    9,813.34x = 13,544.38 × 5,833.68
  4. Step 4: Simplify right side
    9,813.34x = 79,013,578.72
  5. Step 5: Solve for x
    x = 79,013,578.72/9,813.34
  6. Step 6: Final answer
    x = 8,051.65

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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.