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Finding the Fourth Proportional to 6,312.09, 9,457.75 and 3,839.46

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Solution

The fourth proportional to 6,312.09, 9,457.75 and 3,839.46 is: 5,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.09 : 9,457.75 = 3,839.46 : x
  2. Step 2: Convert to fraction form
    6,312.09/9,457.75 = 3,839.46/x
  3. Step 3: Cross multiply
    6,312.09x = 9,457.75 × 3,839.46
  4. Step 4: Simplify right side
    6,312.09x = 36,312,652.82
  5. Step 5: Solve for x
    x = 36,312,652.82/6,312.09
  6. Step 6: Final answer
    x = 5,752.87

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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.