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Finding the Fourth Proportional to 9,764.99, 13,480.35 and 6,181.68

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Solution

The fourth proportional to 9,764.99, 13,480.35 and 6,181.68 is: 8,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.99 : 13,480.35 = 6,181.68 : x
  2. Step 2: Convert to fraction form
    9,764.99/13,480.35 = 6,181.68/x
  3. Step 3: Cross multiply
    9,764.99x = 13,480.35 × 6,181.68
  4. Step 4: Simplify right side
    9,764.99x = 83,331,237.36
  5. Step 5: Solve for x
    x = 83,331,237.36/9,764.99
  6. Step 6: Final answer
    x = 8,533.67

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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.