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Finding the Fourth Proportional to 10,806.67, 14,903.49 and 9,219.04

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Solution

The fourth proportional to 10,806.67, 14,903.49 and 9,219.04 is: 12,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.67 : 14,903.49 = 9,219.04 : x
  2. Step 2: Convert to fraction form
    10,806.67/14,903.49 = 9,219.04/x
  3. Step 3: Cross multiply
    10,806.67x = 14,903.49 × 9,219.04
  4. Step 4: Simplify right side
    10,806.67x = 137,395,909.68
  5. Step 5: Solve for x
    x = 137,395,909.68/10,806.67
  6. Step 6: Final answer
    x = 12,714.00

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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.