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Finding the Fourth Proportional to 9,896.16, 13,648.32 and 6,702.24

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Solution

The fourth proportional to 9,896.16, 13,648.32 and 6,702.24 is: 9,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.16 : 13,648.32 = 6,702.24 : x
  2. Step 2: Convert to fraction form
    9,896.16/13,648.32 = 6,702.24/x
  3. Step 3: Cross multiply
    9,896.16x = 13,648.32 × 6,702.24
  4. Step 4: Simplify right side
    9,896.16x = 91,474,316.24
  5. Step 5: Solve for x
    x = 91,474,316.24/9,896.16
  6. Step 6: Final answer
    x = 9,243.42

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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.