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Finding the Fourth Proportional to 9,749.66, 14,621.04 and 3,174.62

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Solution

The fourth proportional to 9,749.66, 14,621.04 and 3,174.62 is: 4,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.66 : 14,621.04 = 3,174.62 : x
  2. Step 2: Convert to fraction form
    9,749.66/14,621.04 = 3,174.62/x
  3. Step 3: Cross multiply
    9,749.66x = 14,621.04 × 3,174.62
  4. Step 4: Simplify right side
    9,749.66x = 46,416,246.00
  5. Step 5: Solve for x
    x = 46,416,246.00/9,749.66
  6. Step 6: Final answer
    x = 4,760.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.