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Finding the Fourth Proportional to 10,634.46, 14,669.02 and 6,856.22

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Solution

The fourth proportional to 10,634.46, 14,669.02 and 6,856.22 is: 9,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.46 : 14,669.02 = 6,856.22 : x
  2. Step 2: Convert to fraction form
    10,634.46/14,669.02 = 6,856.22/x
  3. Step 3: Cross multiply
    10,634.46x = 14,669.02 × 6,856.22
  4. Step 4: Simplify right side
    10,634.46x = 100,574,028.30
  5. Step 5: Solve for x
    x = 100,574,028.30/10,634.46
  6. Step 6: Final answer
    x = 9,457.37

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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.