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Finding the Fourth Proportional to 6,343.56, 9,521.12 and 3,384.52

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Solution

The fourth proportional to 6,343.56, 9,521.12 and 3,384.52 is: 5,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.56 : 9,521.12 = 3,384.52 : x
  2. Step 2: Convert to fraction form
    6,343.56/9,521.12 = 3,384.52/x
  3. Step 3: Cross multiply
    6,343.56x = 9,521.12 × 3,384.52
  4. Step 4: Simplify right side
    6,343.56x = 32,224,356.53
  5. Step 5: Solve for x
    x = 32,224,356.53/6,343.56
  6. Step 6: Final answer
    x = 5,079.85

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Why These Related Problems?

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