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Finding the Fourth Proportional to 10,200.86, 14,071.94 and 6,803.72

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Solution

The fourth proportional to 10,200.86, 14,071.94 and 6,803.72 is: 9,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.86 : 14,071.94 = 6,803.72 : x
  2. Step 2: Convert to fraction form
    10,200.86/14,071.94 = 6,803.72/x
  3. Step 3: Cross multiply
    10,200.86x = 14,071.94 × 6,803.72
  4. Step 4: Simplify right side
    10,200.86x = 95,741,539.62
  5. Step 5: Solve for x
    x = 95,741,539.62/10,200.86
  6. Step 6: Final answer
    x = 9,385.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.