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Finding the Fourth Proportional to 9,976.04, 13,766.30 and 5,499.54

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Solution

The fourth proportional to 9,976.04, 13,766.30 and 5,499.54 is: 7,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.04 : 13,766.30 = 5,499.54 : x
  2. Step 2: Convert to fraction form
    9,976.04/13,766.30 = 5,499.54/x
  3. Step 3: Cross multiply
    9,976.04x = 13,766.30 × 5,499.54
  4. Step 4: Simplify right side
    9,976.04x = 75,708,317.50
  5. Step 5: Solve for x
    x = 75,708,317.50/9,976.04
  6. Step 6: Final answer
    x = 7,589.02

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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.