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Finding the Fourth Proportional to 9,519.72, 13,144.14 and 7,641.63

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Solution

The fourth proportional to 9,519.72, 13,144.14 and 7,641.63 is: 10,551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.72 : 13,144.14 = 7,641.63 : x
  2. Step 2: Convert to fraction form
    9,519.72/13,144.14 = 7,641.63/x
  3. Step 3: Cross multiply
    9,519.72x = 13,144.14 × 7,641.63
  4. Step 4: Simplify right side
    9,519.72x = 100,442,654.55
  5. Step 5: Solve for x
    x = 100,442,654.55/9,519.72
  6. Step 6: Final answer
    x = 10,551.01

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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.