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Finding the Fourth Proportional to 9,775.08, 13,484.63 and 6,183.99

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Solution

The fourth proportional to 9,775.08, 13,484.63 and 6,183.99 is: 8,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.08 : 13,484.63 = 6,183.99 : x
  2. Step 2: Convert to fraction form
    9,775.08/13,484.63 = 6,183.99/x
  3. Step 3: Cross multiply
    9,775.08x = 13,484.63 × 6,183.99
  4. Step 4: Simplify right side
    9,775.08x = 83,388,832.53
  5. Step 5: Solve for x
    x = 83,388,832.53/9,775.08
  6. Step 6: Final answer
    x = 8,530.76

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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.