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Finding the Fourth Proportional to 6,533.48, 9,016.28 and 3,549.35

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Solution

The fourth proportional to 6,533.48, 9,016.28 and 3,549.35 is: 4,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.48 : 9,016.28 = 3,549.35 : x
  2. Step 2: Convert to fraction form
    6,533.48/9,016.28 = 3,549.35/x
  3. Step 3: Cross multiply
    6,533.48x = 9,016.28 × 3,549.35
  4. Step 4: Simplify right side
    6,533.48x = 32,001,870.59
  5. Step 5: Solve for x
    x = 32,001,870.59/6,533.48
  6. Step 6: Final answer
    x = 4,898.14

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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.