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Finding the Fourth Proportional to 6,402.84, 9,604.08 and 1,785.84

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Solution

The fourth proportional to 6,402.84, 9,604.08 and 1,785.84 is: 2,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.84 : 9,604.08 = 1,785.84 : x
  2. Step 2: Convert to fraction form
    6,402.84/9,604.08 = 1,785.84/x
  3. Step 3: Cross multiply
    6,402.84x = 9,604.08 × 1,785.84
  4. Step 4: Simplify right side
    6,402.84x = 17,151,350.23
  5. Step 5: Solve for x
    x = 17,151,350.23/6,402.84
  6. Step 6: Final answer
    x = 2,678.71

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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.