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Finding the Fourth Proportional to 9,814.86, 13,544.84 and 5,623.92

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Solution

The fourth proportional to 9,814.86, 13,544.84 and 5,623.92 is: 7,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.86 : 13,544.84 = 5,623.92 : x
  2. Step 2: Convert to fraction form
    9,814.86/13,544.84 = 5,623.92/x
  3. Step 3: Cross multiply
    9,814.86x = 13,544.84 × 5,623.92
  4. Step 4: Simplify right side
    9,814.86x = 76,175,096.57
  5. Step 5: Solve for x
    x = 76,175,096.57/9,814.86
  6. Step 6: Final answer
    x = 7,761.20

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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.