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Finding the Fourth Proportional to 9,930.48, 14,896.56 and 4,086

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Solution

The fourth proportional to 9,930.48, 14,896.56 and 4,086 is: 6,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.48 : 14,896.56 = 4,086 : x
  2. Step 2: Convert to fraction form
    9,930.48/14,896.56 = 4,086/x
  3. Step 3: Cross multiply
    9,930.48x = 14,896.56 × 4,086
  4. Step 4: Simplify right side
    9,930.48x = 60,867,344.16
  5. Step 5: Solve for x
    x = 60,867,344.16/9,930.48
  6. Step 6: Final answer
    x = 6,129.35

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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.