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Finding the Fourth Proportional to 6,533.09, 9,015.83 and 3,549.09

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Solution

The fourth proportional to 6,533.09, 9,015.83 and 3,549.09 is: 4,897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.09 : 9,015.83 = 3,549.09 : x
  2. Step 2: Convert to fraction form
    6,533.09/9,015.83 = 3,549.09/x
  3. Step 3: Cross multiply
    6,533.09x = 9,015.83 × 3,549.09
  4. Step 4: Simplify right side
    6,533.09x = 31,997,974.35
  5. Step 5: Solve for x
    x = 31,997,974.35/6,533.09
  6. Step 6: Final answer
    x = 4,897.84

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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.