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Finding the Fourth Proportional to 9,509.76, 13,126.77 and 6,535.44

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Solution

The fourth proportional to 9,509.76, 13,126.77 and 6,535.44 is: 9,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.76 : 13,126.77 = 6,535.44 : x
  2. Step 2: Convert to fraction form
    9,509.76/13,126.77 = 6,535.44/x
  3. Step 3: Cross multiply
    9,509.76x = 13,126.77 × 6,535.44
  4. Step 4: Simplify right side
    9,509.76x = 85,789,217.73
  5. Step 5: Solve for x
    x = 85,789,217.73/9,509.76
  6. Step 6: Final answer
    x = 9,021.18

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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.