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Finding the Fourth Proportional to 9,801.81, 14,673.56 and 5,894.37

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Solution

The fourth proportional to 9,801.81, 14,673.56 and 5,894.37 is: 8,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.81 : 14,673.56 = 5,894.37 : x
  2. Step 2: Convert to fraction form
    9,801.81/14,673.56 = 5,894.37/x
  3. Step 3: Cross multiply
    9,801.81x = 14,673.56 × 5,894.37
  4. Step 4: Simplify right side
    9,801.81x = 86,491,362.39
  5. Step 5: Solve for x
    x = 86,491,362.39/9,801.81
  6. Step 6: Final answer
    x = 8,824.02

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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.