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Finding the Fourth Proportional to 6,285.38, 9,428.12 and 1,903.18

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Solution

The fourth proportional to 6,285.38, 9,428.12 and 1,903.18 is: 2,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.38 : 9,428.12 = 1,903.18 : x
  2. Step 2: Convert to fraction form
    6,285.38/9,428.12 = 1,903.18/x
  3. Step 3: Cross multiply
    6,285.38x = 9,428.12 × 1,903.18
  4. Step 4: Simplify right side
    6,285.38x = 17,943,409.42
  5. Step 5: Solve for x
    x = 17,943,409.42/6,285.38
  6. Step 6: Final answer
    x = 2,854.79

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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.