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Finding the Fourth Proportional to 6,449.19, 9,673.77 and 4,257.40

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Solution

The fourth proportional to 6,449.19, 9,673.77 and 4,257.40 is: 6,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.19 : 9,673.77 = 4,257.40 : x
  2. Step 2: Convert to fraction form
    6,449.19/9,673.77 = 4,257.40/x
  3. Step 3: Cross multiply
    6,449.19x = 9,673.77 × 4,257.40
  4. Step 4: Simplify right side
    6,449.19x = 41,185,108.40
  5. Step 5: Solve for x
    x = 41,185,108.40/6,449.19
  6. Step 6: Final answer
    x = 6,386.09

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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.