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Finding the Fourth Proportional to 9,702.67, 14,554.92 and 2,682.40

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Solution

The fourth proportional to 9,702.67, 14,554.92 and 2,682.40 is: 4,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.67 : 14,554.92 = 2,682.40 : x
  2. Step 2: Convert to fraction form
    9,702.67/14,554.92 = 2,682.40/x
  3. Step 3: Cross multiply
    9,702.67x = 14,554.92 × 2,682.40
  4. Step 4: Simplify right side
    9,702.67x = 39,042,117.41
  5. Step 5: Solve for x
    x = 39,042,117.41/9,702.67
  6. Step 6: Final answer
    x = 4,023.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.