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Finding the Fourth Proportional to 9,398.38, 14,098.26 and 2,825.08

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Solution

The fourth proportional to 9,398.38, 14,098.26 and 2,825.08 is: 4,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.38 : 14,098.26 = 2,825.08 : x
  2. Step 2: Convert to fraction form
    9,398.38/14,098.26 = 2,825.08/x
  3. Step 3: Cross multiply
    9,398.38x = 14,098.26 × 2,825.08
  4. Step 4: Simplify right side
    9,398.38x = 39,828,712.36
  5. Step 5: Solve for x
    x = 39,828,712.36/9,398.38
  6. Step 6: Final answer
    x = 4,237.83

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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.