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Finding the Fourth Proportional to 9,747.63, 13,451.22 and 5,498.57

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Solution

The fourth proportional to 9,747.63, 13,451.22 and 5,498.57 is: 7,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.63 : 13,451.22 = 5,498.57 : x
  2. Step 2: Convert to fraction form
    9,747.63/13,451.22 = 5,498.57/x
  3. Step 3: Cross multiply
    9,747.63x = 13,451.22 × 5,498.57
  4. Step 4: Simplify right side
    9,747.63x = 73,962,407.50
  5. Step 5: Solve for x
    x = 73,962,407.50/9,747.63
  6. Step 6: Final answer
    x = 7,587.73

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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.