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Finding the Fourth Proportional to 9,767.24, 13,477.98 and 5,518.67

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Solution

The fourth proportional to 9,767.24, 13,477.98 and 5,518.67 is: 7,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.24 : 13,477.98 = 5,518.67 : x
  2. Step 2: Convert to fraction form
    9,767.24/13,477.98 = 5,518.67/x
  3. Step 3: Cross multiply
    9,767.24x = 13,477.98 × 5,518.67
  4. Step 4: Simplify right side
    9,767.24x = 74,380,456.50
  5. Step 5: Solve for x
    x = 74,380,456.50/9,767.24
  6. Step 6: Final answer
    x = 7,615.30

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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.