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Finding the Fourth Proportional to 6,785.62, 9,358.89 and 4,546.78

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Solution

The fourth proportional to 6,785.62, 9,358.89 and 4,546.78 is: 6,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.62 : 9,358.89 = 4,546.78 : x
  2. Step 2: Convert to fraction form
    6,785.62/9,358.89 = 4,546.78/x
  3. Step 3: Cross multiply
    6,785.62x = 9,358.89 × 4,546.78
  4. Step 4: Simplify right side
    6,785.62x = 42,552,813.87
  5. Step 5: Solve for x
    x = 42,552,813.87/6,785.62
  6. Step 6: Final answer
    x = 6,271.03

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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.