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Finding the Fourth Proportional to 6,390, 9,585.96 and 2,286.96

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Solution

The fourth proportional to 6,390, 9,585.96 and 2,286.96 is: 3,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390 : 9,585.96 = 2,286.96 : x
  2. Step 2: Convert to fraction form
    6,390/9,585.96 = 2,286.96/x
  3. Step 3: Cross multiply
    6,390x = 9,585.96 × 2,286.96
  4. Step 4: Simplify right side
    6,390x = 21,922,707.08
  5. Step 5: Solve for x
    x = 21,922,707.08/6,390
  6. Step 6: Final answer
    x = 3,430.78

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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.