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Finding the Fourth Proportional to 9,702.72, 13,394.82 and 6,532.68

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Solution

The fourth proportional to 9,702.72, 13,394.82 and 6,532.68 is: 9,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.72 : 13,394.82 = 6,532.68 : x
  2. Step 2: Convert to fraction form
    9,702.72/13,394.82 = 6,532.68/x
  3. Step 3: Cross multiply
    9,702.72x = 13,394.82 × 6,532.68
  4. Step 4: Simplify right side
    9,702.72x = 87,504,072.72
  5. Step 5: Solve for x
    x = 87,504,072.72/9,702.72
  6. Step 6: Final answer
    x = 9,018.51

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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.