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Finding the Fourth Proportional to 6,533.29, 9,016.01 and 3,549.16

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Solution

The fourth proportional to 6,533.29, 9,016.01 and 3,549.16 is: 4,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.29 : 9,016.01 = 3,549.16 : x
  2. Step 2: Convert to fraction form
    6,533.29/9,016.01 = 3,549.16/x
  3. Step 3: Cross multiply
    6,533.29x = 9,016.01 × 3,549.16
  4. Step 4: Simplify right side
    6,533.29x = 31,999,262.05
  5. Step 5: Solve for x
    x = 31,999,262.05/6,533.29
  6. Step 6: Final answer
    x = 4,897.88

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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.