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Finding the Fourth Proportional to 6,803.09, 9,385.86 and 4,446.60

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Solution

The fourth proportional to 6,803.09, 9,385.86 and 4,446.60 is: 6,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.09 : 9,385.86 = 4,446.60 : x
  2. Step 2: Convert to fraction form
    6,803.09/9,385.86 = 4,446.60/x
  3. Step 3: Cross multiply
    6,803.09x = 9,385.86 × 4,446.60
  4. Step 4: Simplify right side
    6,803.09x = 41,735,165.08
  5. Step 5: Solve for x
    x = 41,735,165.08/6,803.09
  6. Step 6: Final answer
    x = 6,134.74

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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.