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Finding the Fourth Proportional to 6,468.12, 8,925.90 and 3,673.44

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Solution

The fourth proportional to 6,468.12, 8,925.90 and 3,673.44 is: 5,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.12 : 8,925.90 = 3,673.44 : x
  2. Step 2: Convert to fraction form
    6,468.12/8,925.90 = 3,673.44/x
  3. Step 3: Cross multiply
    6,468.12x = 8,925.90 × 3,673.44
  4. Step 4: Simplify right side
    6,468.12x = 32,788,758.10
  5. Step 5: Solve for x
    x = 32,788,758.10/6,468.12
  6. Step 6: Final answer
    x = 5,069.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.