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Finding the Fourth Proportional to 6,438.04, 9,663.10 and 3,320.20

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Solution

The fourth proportional to 6,438.04, 9,663.10 and 3,320.20 is: 4,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.04 : 9,663.10 = 3,320.20 : x
  2. Step 2: Convert to fraction form
    6,438.04/9,663.10 = 3,320.20/x
  3. Step 3: Cross multiply
    6,438.04x = 9,663.10 × 3,320.20
  4. Step 4: Simplify right side
    6,438.04x = 32,083,424.62
  5. Step 5: Solve for x
    x = 32,083,424.62/6,438.04
  6. Step 6: Final answer
    x = 4,983.41

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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.