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Finding the Fourth Proportional to 9,775.08, 13,484.04 and 6,183.48

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Solution

The fourth proportional to 9,775.08, 13,484.04 and 6,183.48 is: 8,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.08 : 13,484.04 = 6,183.48 : x
  2. Step 2: Convert to fraction form
    9,775.08/13,484.04 = 6,183.48/x
  3. Step 3: Cross multiply
    9,775.08x = 13,484.04 × 6,183.48
  4. Step 4: Simplify right side
    9,775.08x = 83,378,291.66
  5. Step 5: Solve for x
    x = 83,378,291.66/9,775.08
  6. Step 6: Final answer
    x = 8,529.68

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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.