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Finding the Fourth Proportional to 9,510.26, 13,127.46 and 6,535.94

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Solution

The fourth proportional to 9,510.26, 13,127.46 and 6,535.94 is: 9,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.26 : 13,127.46 = 6,535.94 : x
  2. Step 2: Convert to fraction form
    9,510.26/13,127.46 = 6,535.94/x
  3. Step 3: Cross multiply
    9,510.26x = 13,127.46 × 6,535.94
  4. Step 4: Simplify right side
    9,510.26x = 85,800,290.91
  5. Step 5: Solve for x
    x = 85,800,290.91/9,510.26
  6. Step 6: Final answer
    x = 9,021.87

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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.