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Finding the Fourth Proportional to 9,539.60, 13,164.80 and 6,183.76

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Solution

The fourth proportional to 9,539.60, 13,164.80 and 6,183.76 is: 8,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.60 : 13,164.80 = 6,183.76 : x
  2. Step 2: Convert to fraction form
    9,539.60/13,164.80 = 6,183.76/x
  3. Step 3: Cross multiply
    9,539.60x = 13,164.80 × 6,183.76
  4. Step 4: Simplify right side
    9,539.60x = 81,407,963.65
  5. Step 5: Solve for x
    x = 81,407,963.65/9,539.60
  6. Step 6: Final answer
    x = 8,533.69

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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.