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Finding the Fourth Proportional to 9,230.92, 13,846.62 and 7,043.56

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Solution

The fourth proportional to 9,230.92, 13,846.62 and 7,043.56 is: 10,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.92 : 13,846.62 = 7,043.56 : x
  2. Step 2: Convert to fraction form
    9,230.92/13,846.62 = 7,043.56/x
  3. Step 3: Cross multiply
    9,230.92x = 13,846.62 × 7,043.56
  4. Step 4: Simplify right side
    9,230.92x = 97,529,498.77
  5. Step 5: Solve for x
    x = 97,529,498.77/9,230.92
  6. Step 6: Final answer
    x = 10,565.52

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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.