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Finding the Fourth Proportional to 6,305.34, 9,458.01 and 1,688.46

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Solution

The fourth proportional to 6,305.34, 9,458.01 and 1,688.46 is: 2,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.34 : 9,458.01 = 1,688.46 : x
  2. Step 2: Convert to fraction form
    6,305.34/9,458.01 = 1,688.46/x
  3. Step 3: Cross multiply
    6,305.34x = 9,458.01 × 1,688.46
  4. Step 4: Simplify right side
    6,305.34x = 15,969,471.56
  5. Step 5: Solve for x
    x = 15,969,471.56/6,305.34
  6. Step 6: Final answer
    x = 2,532.69

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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.