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Finding the Fourth Proportional to 6,459.50, 8,914.34 and 3,809.18

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Solution

The fourth proportional to 6,459.50, 8,914.34 and 3,809.18 is: 5,256.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.50 : 8,914.34 = 3,809.18 : x
  2. Step 2: Convert to fraction form
    6,459.50/8,914.34 = 3,809.18/x
  3. Step 3: Cross multiply
    6,459.50x = 8,914.34 × 3,809.18
  4. Step 4: Simplify right side
    6,459.50x = 33,956,325.64
  5. Step 5: Solve for x
    x = 33,956,325.64/6,459.50
  6. Step 6: Final answer
    x = 5,256.80

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