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Finding the Fourth Proportional to 9,034.20, 13,529.70 and 7,306.20

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Solution

The fourth proportional to 9,034.20, 13,529.70 and 7,306.20 is: 10,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.20 : 13,529.70 = 7,306.20 : x
  2. Step 2: Convert to fraction form
    9,034.20/13,529.70 = 7,306.20/x
  3. Step 3: Cross multiply
    9,034.20x = 13,529.70 × 7,306.20
  4. Step 4: Simplify right side
    9,034.20x = 98,850,694.14
  5. Step 5: Solve for x
    x = 98,850,694.14/9,034.20
  6. Step 6: Final answer
    x = 10,941.83

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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.