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Finding the Fourth Proportional to 9,907.80, 13,672.20 and 5,431.28

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Solution

The fourth proportional to 9,907.80, 13,672.20 and 5,431.28 is: 7,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.80 : 13,672.20 = 5,431.28 : x
  2. Step 2: Convert to fraction form
    9,907.80/13,672.20 = 5,431.28/x
  3. Step 3: Cross multiply
    9,907.80x = 13,672.20 × 5,431.28
  4. Step 4: Simplify right side
    9,907.80x = 74,257,546.42
  5. Step 5: Solve for x
    x = 74,257,546.42/9,907.80
  6. Step 6: Final answer
    x = 7,494.86

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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.