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Finding the Fourth Proportional to 6,420.67, 9,632.52 and 2,038.13

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Solution

The fourth proportional to 6,420.67, 9,632.52 and 2,038.13 is: 3,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.67 : 9,632.52 = 2,038.13 : x
  2. Step 2: Convert to fraction form
    6,420.67/9,632.52 = 2,038.13/x
  3. Step 3: Cross multiply
    6,420.67x = 9,632.52 × 2,038.13
  4. Step 4: Simplify right side
    6,420.67x = 19,632,315.95
  5. Step 5: Solve for x
    x = 19,632,315.95/6,420.67
  6. Step 6: Final answer
    x = 3,057.68

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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.