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Finding the Fourth Proportional to 6,457.82, 9,674.04 and 4,259.84

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Solution

The fourth proportional to 6,457.82, 9,674.04 and 4,259.84 is: 6,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.82 : 9,674.04 = 4,259.84 : x
  2. Step 2: Convert to fraction form
    6,457.82/9,674.04 = 4,259.84/x
  3. Step 3: Cross multiply
    6,457.82x = 9,674.04 × 4,259.84
  4. Step 4: Simplify right side
    6,457.82x = 41,209,862.55
  5. Step 5: Solve for x
    x = 41,209,862.55/6,457.82
  6. Step 6: Final answer
    x = 6,381.39

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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.