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Finding the Fourth Proportional to 6,533.60, 9,016.31 and 3,549.42

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Solution

The fourth proportional to 6,533.60, 9,016.31 and 3,549.42 is: 4,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.60 : 9,016.31 = 3,549.42 : x
  2. Step 2: Convert to fraction form
    6,533.60/9,016.31 = 3,549.42/x
  3. Step 3: Cross multiply
    6,533.60x = 9,016.31 × 3,549.42
  4. Step 4: Simplify right side
    6,533.60x = 32,002,679.91
  5. Step 5: Solve for x
    x = 32,002,679.91/6,533.60
  6. Step 6: Final answer
    x = 4,898.17

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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.