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Finding the Fourth Proportional to 9,857, 14,789.56 and 7,237.88

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Solution

The fourth proportional to 9,857, 14,789.56 and 7,237.88 is: 10,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857 : 14,789.56 = 7,237.88 : x
  2. Step 2: Convert to fraction form
    9,857/14,789.56 = 7,237.88/x
  3. Step 3: Cross multiply
    9,857x = 14,789.56 × 7,237.88
  4. Step 4: Simplify right side
    9,857x = 107,045,060.53
  5. Step 5: Solve for x
    x = 107,045,060.53/9,857
  6. Step 6: Final answer
    x = 10,859.80

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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.