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Finding the Fourth Proportional to 9,705.20, 14,557.68 and 6,843.89

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Solution

The fourth proportional to 9,705.20, 14,557.68 and 6,843.89 is: 10,265.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.20 : 14,557.68 = 6,843.89 : x
  2. Step 2: Convert to fraction form
    9,705.20/14,557.68 = 6,843.89/x
  3. Step 3: Cross multiply
    9,705.20x = 14,557.68 × 6,843.89
  4. Step 4: Simplify right side
    9,705.20x = 99,631,126.36
  5. Step 5: Solve for x
    x = 99,631,126.36/9,705.20
  6. Step 6: Final answer
    x = 10,265.75

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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.