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Finding the Fourth Proportional to 6,803.64, 9,387.81 and 4,151.90

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Solution

The fourth proportional to 6,803.64, 9,387.81 and 4,151.90 is: 5,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.64 : 9,387.81 = 4,151.90 : x
  2. Step 2: Convert to fraction form
    6,803.64/9,387.81 = 4,151.90/x
  3. Step 3: Cross multiply
    6,803.64x = 9,387.81 × 4,151.90
  4. Step 4: Simplify right side
    6,803.64x = 38,977,201.40
  5. Step 5: Solve for x
    x = 38,977,201.40/6,803.64
  6. Step 6: Final answer
    x = 5,728.87

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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.