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Finding the Fourth Proportional to 9,814.85, 13,544.84 and 5,623.91

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Solution

The fourth proportional to 9,814.85, 13,544.84 and 5,623.91 is: 7,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.85 : 13,544.84 = 5,623.91 : x
  2. Step 2: Convert to fraction form
    9,814.85/13,544.84 = 5,623.91/x
  3. Step 3: Cross multiply
    9,814.85x = 13,544.84 × 5,623.91
  4. Step 4: Simplify right side
    9,814.85x = 76,174,961.12
  5. Step 5: Solve for x
    x = 76,174,961.12/9,814.85
  6. Step 6: Final answer
    x = 7,761.19

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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.