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Finding the Fourth Proportional to 6,535.34, 9,803.73 and 2,093.42

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Solution

The fourth proportional to 6,535.34, 9,803.73 and 2,093.42 is: 3,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.34 : 9,803.73 = 2,093.42 : x
  2. Step 2: Convert to fraction form
    6,535.34/9,803.73 = 2,093.42/x
  3. Step 3: Cross multiply
    6,535.34x = 9,803.73 × 2,093.42
  4. Step 4: Simplify right side
    6,535.34x = 20,523,275.44
  5. Step 5: Solve for x
    x = 20,523,275.44/6,535.34
  6. Step 6: Final answer
    x = 3,140.35

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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.