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Finding the Fourth Proportional to 6,358.68, 9,546.38 and 4,288.02

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Solution

The fourth proportional to 6,358.68, 9,546.38 and 4,288.02 is: 6,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.68 : 9,546.38 = 4,288.02 : x
  2. Step 2: Convert to fraction form
    6,358.68/9,546.38 = 4,288.02/x
  3. Step 3: Cross multiply
    6,358.68x = 9,546.38 × 4,288.02
  4. Step 4: Simplify right side
    6,358.68x = 40,935,046.93
  5. Step 5: Solve for x
    x = 40,935,046.93/6,358.68
  6. Step 6: Final answer
    x = 6,437.66

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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.