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Finding the Fourth Proportional to 9,829.72, 14,749.30 and 6,131

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Solution

The fourth proportional to 9,829.72, 14,749.30 and 6,131 is: 9,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.72 : 14,749.30 = 6,131 : x
  2. Step 2: Convert to fraction form
    9,829.72/14,749.30 = 6,131/x
  3. Step 3: Cross multiply
    9,829.72x = 14,749.30 × 6,131
  4. Step 4: Simplify right side
    9,829.72x = 90,427,958.30
  5. Step 5: Solve for x
    x = 90,427,958.30/9,829.72
  6. Step 6: Final answer
    x = 9,199.44

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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.