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Finding the Fourth Proportional to 6,339.93, 9,513.98 and 3,420.25

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Solution

The fourth proportional to 6,339.93, 9,513.98 and 3,420.25 is: 5,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.93 : 9,513.98 = 3,420.25 : x
  2. Step 2: Convert to fraction form
    6,339.93/9,513.98 = 3,420.25/x
  3. Step 3: Cross multiply
    6,339.93x = 9,513.98 × 3,420.25
  4. Step 4: Simplify right side
    6,339.93x = 32,540,227.91
  5. Step 5: Solve for x
    x = 32,540,227.91/6,339.93
  6. Step 6: Final answer
    x = 5,132.58

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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.