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Finding the Fourth Proportional to 9,801.72, 14,702.86 and 2,406.17

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Solution

The fourth proportional to 9,801.72, 14,702.86 and 2,406.17 is: 3,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.72 : 14,702.86 = 2,406.17 : x
  2. Step 2: Convert to fraction form
    9,801.72/14,702.86 = 2,406.17/x
  3. Step 3: Cross multiply
    9,801.72x = 14,702.86 × 2,406.17
  4. Step 4: Simplify right side
    9,801.72x = 35,377,638.79
  5. Step 5: Solve for x
    x = 35,377,638.79/9,801.72
  6. Step 6: Final answer
    x = 3,609.33

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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.