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Finding the Fourth Proportional to 6,510.40, 9,743.20 and 3,915.20

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Solution

The fourth proportional to 6,510.40, 9,743.20 and 3,915.20 is: 5,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.40 : 9,743.20 = 3,915.20 : x
  2. Step 2: Convert to fraction form
    6,510.40/9,743.20 = 3,915.20/x
  3. Step 3: Cross multiply
    6,510.40x = 9,743.20 × 3,915.20
  4. Step 4: Simplify right side
    6,510.40x = 38,146,576.64
  5. Step 5: Solve for x
    x = 38,146,576.64/6,510.40
  6. Step 6: Final answer
    x = 5,859.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.