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Finding the Fourth Proportional to 9,798.06, 13,511.10 and 9,233.09

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Solution

The fourth proportional to 9,798.06, 13,511.10 and 9,233.09 is: 12,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.06 : 13,511.10 = 9,233.09 : x
  2. Step 2: Convert to fraction form
    9,798.06/13,511.10 = 9,233.09/x
  3. Step 3: Cross multiply
    9,798.06x = 13,511.10 × 9,233.09
  4. Step 4: Simplify right side
    9,798.06x = 124,749,220.03
  5. Step 5: Solve for x
    x = 124,749,220.03/9,798.06
  6. Step 6: Final answer
    x = 12,732.03

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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.