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Finding the Fourth Proportional to 9,854.33, 13,598.89 and 5,378.09

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Solution

The fourth proportional to 9,854.33, 13,598.89 and 5,378.09 is: 7,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.33 : 13,598.89 = 5,378.09 : x
  2. Step 2: Convert to fraction form
    9,854.33/13,598.89 = 5,378.09/x
  3. Step 3: Cross multiply
    9,854.33x = 13,598.89 × 5,378.09
  4. Step 4: Simplify right side
    9,854.33x = 73,135,972.88
  5. Step 5: Solve for x
    x = 73,135,972.88/9,854.33
  6. Step 6: Final answer
    x = 7,421.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.