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Finding the Fourth Proportional to 8,705.84, 13,046.97 and 6,354.82

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Solution

The fourth proportional to 8,705.84, 13,046.97 and 6,354.82 is: 9,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.84 : 13,046.97 = 6,354.82 : x
  2. Step 2: Convert to fraction form
    8,705.84/13,046.97 = 6,354.82/x
  3. Step 3: Cross multiply
    8,705.84x = 13,046.97 × 6,354.82
  4. Step 4: Simplify right side
    8,705.84x = 82,911,145.90
  5. Step 5: Solve for x
    x = 82,911,145.90/8,705.84
  6. Step 6: Final answer
    x = 9,523.62

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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.