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Finding the Fourth Proportional to 9,080.98, 12,531.92 and 5,102.09

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Solution

The fourth proportional to 9,080.98, 12,531.92 and 5,102.09 is: 7,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,080.98 : 12,531.92 = 5,102.09 : x
  2. Step 2: Convert to fraction form
    9,080.98/12,531.92 = 5,102.09/x
  3. Step 3: Cross multiply
    9,080.98x = 12,531.92 × 5,102.09
  4. Step 4: Simplify right side
    9,080.98x = 63,938,942.54
  5. Step 5: Solve for x
    x = 63,938,942.54/9,080.98
  6. Step 6: Final answer
    x = 7,040.98

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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.