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Finding the Fourth Proportional to 6,535.36, 9,016.60 and 3,702.40

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Solution

The fourth proportional to 6,535.36, 9,016.60 and 3,702.40 is: 5,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.36 : 9,016.60 = 3,702.40 : x
  2. Step 2: Convert to fraction form
    6,535.36/9,016.60 = 3,702.40/x
  3. Step 3: Cross multiply
    6,535.36x = 9,016.60 × 3,702.40
  4. Step 4: Simplify right side
    6,535.36x = 33,383,059.84
  5. Step 5: Solve for x
    x = 33,383,059.84/6,535.36
  6. Step 6: Final answer
    x = 5,108.07

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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.