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Finding the Fourth Proportional to 6,394.38, 9,585.44 and 2,699.84

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Solution

The fourth proportional to 6,394.38, 9,585.44 and 2,699.84 is: 4,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.38 : 9,585.44 = 2,699.84 : x
  2. Step 2: Convert to fraction form
    6,394.38/9,585.44 = 2,699.84/x
  3. Step 3: Cross multiply
    6,394.38x = 9,585.44 × 2,699.84
  4. Step 4: Simplify right side
    6,394.38x = 25,879,154.33
  5. Step 5: Solve for x
    x = 25,879,154.33/6,394.38
  6. Step 6: Final answer
    x = 4,047.17

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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.