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Finding the Fourth Proportional to 9,852.86, 14,773.86 and 6,736.38

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Solution

The fourth proportional to 9,852.86, 14,773.86 and 6,736.38 is: 10,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.86 : 14,773.86 = 6,736.38 : x
  2. Step 2: Convert to fraction form
    9,852.86/14,773.86 = 6,736.38/x
  3. Step 3: Cross multiply
    9,852.86x = 14,773.86 × 6,736.38
  4. Step 4: Simplify right side
    9,852.86x = 99,522,335.03
  5. Step 5: Solve for x
    x = 99,522,335.03/9,852.86
  6. Step 6: Final answer
    x = 10,100.86

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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.