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Finding the Fourth Proportional to 9,398.40, 14,098.26 and 2,824.62

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Solution

The fourth proportional to 9,398.40, 14,098.26 and 2,824.62 is: 4,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.40 : 14,098.26 = 2,824.62 : x
  2. Step 2: Convert to fraction form
    9,398.40/14,098.26 = 2,824.62/x
  3. Step 3: Cross multiply
    9,398.40x = 14,098.26 × 2,824.62
  4. Step 4: Simplify right side
    9,398.40x = 39,822,227.16
  5. Step 5: Solve for x
    x = 39,822,227.16/9,398.40
  6. Step 6: Final answer
    x = 4,237.13

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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.