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Finding the Fourth Proportional to 9,230.74, 13,846.10 and 5,097.03

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Solution

The fourth proportional to 9,230.74, 13,846.10 and 5,097.03 is: 7,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.74 : 13,846.10 = 5,097.03 : x
  2. Step 2: Convert to fraction form
    9,230.74/13,846.10 = 5,097.03/x
  3. Step 3: Cross multiply
    9,230.74x = 13,846.10 × 5,097.03
  4. Step 4: Simplify right side
    9,230.74x = 70,573,892.37
  5. Step 5: Solve for x
    x = 70,573,892.37/9,230.74
  6. Step 6: Final answer
    x = 7,645.53

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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.