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Finding the Fourth Proportional to 9,193.17, 13,770.30 and 7,629.46

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Solution

The fourth proportional to 9,193.17, 13,770.30 and 7,629.46 is: 11,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.17 : 13,770.30 = 7,629.46 : x
  2. Step 2: Convert to fraction form
    9,193.17/13,770.30 = 7,629.46/x
  3. Step 3: Cross multiply
    9,193.17x = 13,770.30 × 7,629.46
  4. Step 4: Simplify right side
    9,193.17x = 105,059,953.04
  5. Step 5: Solve for x
    x = 105,059,953.04/9,193.17
  6. Step 6: Final answer
    x = 11,428.04

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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.