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Finding the Fourth Proportional to 9,811.21, 13,539.18 and 5,562.67

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Solution

The fourth proportional to 9,811.21, 13,539.18 and 5,562.67 is: 7,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.21 : 13,539.18 = 5,562.67 : x
  2. Step 2: Convert to fraction form
    9,811.21/13,539.18 = 5,562.67/x
  3. Step 3: Cross multiply
    9,811.21x = 13,539.18 × 5,562.67
  4. Step 4: Simplify right side
    9,811.21x = 75,313,990.41
  5. Step 5: Solve for x
    x = 75,313,990.41/9,811.21
  6. Step 6: Final answer
    x = 7,676.32

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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.