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Finding the Fourth Proportional to 6,424.91, 9,637.46 and 3,521.67

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Solution

The fourth proportional to 6,424.91, 9,637.46 and 3,521.67 is: 5,282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.91 : 9,637.46 = 3,521.67 : x
  2. Step 2: Convert to fraction form
    6,424.91/9,637.46 = 3,521.67/x
  3. Step 3: Cross multiply
    6,424.91x = 9,637.46 × 3,521.67
  4. Step 4: Simplify right side
    6,424.91x = 33,939,953.76
  5. Step 5: Solve for x
    x = 33,939,953.76/6,424.91
  6. Step 6: Final answer
    x = 5,282.56

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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.