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Finding the Fourth Proportional to 6,286.07, 9,430.47 and 1,903.87

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Solution

The fourth proportional to 6,286.07, 9,430.47 and 1,903.87 is: 2,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.07 : 9,430.47 = 1,903.87 : x
  2. Step 2: Convert to fraction form
    6,286.07/9,430.47 = 1,903.87/x
  3. Step 3: Cross multiply
    6,286.07x = 9,430.47 × 1,903.87
  4. Step 4: Simplify right side
    6,286.07x = 17,954,359.58
  5. Step 5: Solve for x
    x = 17,954,359.58/6,286.07
  6. Step 6: Final answer
    x = 2,856.21

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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.