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Finding the Fourth Proportional to 6,354.08, 9,531.42 and 3,069.93

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Solution

The fourth proportional to 6,354.08, 9,531.42 and 3,069.93 is: 4,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.08 : 9,531.42 = 3,069.93 : x
  2. Step 2: Convert to fraction form
    6,354.08/9,531.42 = 3,069.93/x
  3. Step 3: Cross multiply
    6,354.08x = 9,531.42 × 3,069.93
  4. Step 4: Simplify right side
    6,354.08x = 29,260,792.20
  5. Step 5: Solve for x
    x = 29,260,792.20/6,354.08
  6. Step 6: Final answer
    x = 4,605.04

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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.