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Finding the Fourth Proportional to 9,890.11, 13,647.82 and 5,412.99

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Solution

The fourth proportional to 9,890.11, 13,647.82 and 5,412.99 is: 7,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.11 : 13,647.82 = 5,412.99 : x
  2. Step 2: Convert to fraction form
    9,890.11/13,647.82 = 5,412.99/x
  3. Step 3: Cross multiply
    9,890.11x = 13,647.82 × 5,412.99
  4. Step 4: Simplify right side
    9,890.11x = 73,875,513.18
  5. Step 5: Solve for x
    x = 73,875,513.18/9,890.11
  6. Step 6: Final answer
    x = 7,469.64

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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.