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Finding the Fourth Proportional to 6,521.96, 9,001.46 and 3,870.83

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Solution

The fourth proportional to 6,521.96, 9,001.46 and 3,870.83 is: 5,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.96 : 9,001.46 = 3,870.83 : x
  2. Step 2: Convert to fraction form
    6,521.96/9,001.46 = 3,870.83/x
  3. Step 3: Cross multiply
    6,521.96x = 9,001.46 × 3,870.83
  4. Step 4: Simplify right side
    6,521.96x = 34,843,121.41
  5. Step 5: Solve for x
    x = 34,843,121.41/6,521.96
  6. Step 6: Final answer
    x = 5,342.43

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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.