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Finding the Fourth Proportional to 9,747.88, 13,451.33 and 5,499.63

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Solution

The fourth proportional to 9,747.88, 13,451.33 and 5,499.63 is: 7,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.88 : 13,451.33 = 5,499.63 : x
  2. Step 2: Convert to fraction form
    9,747.88/13,451.33 = 5,499.63/x
  3. Step 3: Cross multiply
    9,747.88x = 13,451.33 × 5,499.63
  4. Step 4: Simplify right side
    9,747.88x = 73,977,351.76
  5. Step 5: Solve for x
    x = 73,977,351.76/9,747.88
  6. Step 6: Final answer
    x = 7,589.07

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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.