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Finding the Fourth Proportional to 6,286.38, 9,430.02 and 1,904.17

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Solution

The fourth proportional to 6,286.38, 9,430.02 and 1,904.17 is: 2,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.38 : 9,430.02 = 1,904.17 : x
  2. Step 2: Convert to fraction form
    6,286.38/9,430.02 = 1,904.17/x
  3. Step 3: Cross multiply
    6,286.38x = 9,430.02 × 1,904.17
  4. Step 4: Simplify right side
    6,286.38x = 17,956,380.00
  5. Step 5: Solve for x
    x = 17,956,380.00/6,286.38
  6. Step 6: Final answer
    x = 2,856.40

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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.