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Finding the Fourth Proportional to 9,852.93, 14,778.99 and 3,278.61

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Solution

The fourth proportional to 9,852.93, 14,778.99 and 3,278.61 is: 4,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.93 : 14,778.99 = 3,278.61 : x
  2. Step 2: Convert to fraction form
    9,852.93/14,778.99 = 3,278.61/x
  3. Step 3: Cross multiply
    9,852.93x = 14,778.99 × 3,278.61
  4. Step 4: Simplify right side
    9,852.93x = 48,454,544.40
  5. Step 5: Solve for x
    x = 48,454,544.40/9,852.93
  6. Step 6: Final answer
    x = 4,917.78

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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.