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Finding the Fourth Proportional to 9,728.92, 14,595.78 and 2,803.36

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Solution

The fourth proportional to 9,728.92, 14,595.78 and 2,803.36 is: 4,205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.92 : 14,595.78 = 2,803.36 : x
  2. Step 2: Convert to fraction form
    9,728.92/14,595.78 = 2,803.36/x
  3. Step 3: Cross multiply
    9,728.92x = 14,595.78 × 2,803.36
  4. Step 4: Simplify right side
    9,728.92x = 40,917,225.82
  5. Step 5: Solve for x
    x = 40,917,225.82/9,728.92
  6. Step 6: Final answer
    x = 4,205.73

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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.