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Finding the Fourth Proportional to 6,448.90, 9,673.34 and 4,257.11

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Solution

The fourth proportional to 6,448.90, 9,673.34 and 4,257.11 is: 6,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.90 : 9,673.34 = 4,257.11 : x
  2. Step 2: Convert to fraction form
    6,448.90/9,673.34 = 4,257.11/x
  3. Step 3: Cross multiply
    6,448.90x = 9,673.34 × 4,257.11
  4. Step 4: Simplify right side
    6,448.90x = 41,180,444.88
  5. Step 5: Solve for x
    x = 41,180,444.88/6,448.90
  6. Step 6: Final answer
    x = 6,385.65

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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.