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Finding the Fourth Proportional to 9,811.85, 13,540.70 and 5,620.91

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Solution

The fourth proportional to 9,811.85, 13,540.70 and 5,620.91 is: 7,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.85 : 13,540.70 = 5,620.91 : x
  2. Step 2: Convert to fraction form
    9,811.85/13,540.70 = 5,620.91/x
  3. Step 3: Cross multiply
    9,811.85x = 13,540.70 × 5,620.91
  4. Step 4: Simplify right side
    9,811.85x = 76,111,002.39
  5. Step 5: Solve for x
    x = 76,111,002.39/9,811.85
  6. Step 6: Final answer
    x = 7,757.05

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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.