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Finding the Fourth Proportional to 9,954.48, 14,907.84 and 5,785.68

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Solution

The fourth proportional to 9,954.48, 14,907.84 and 5,785.68 is: 8,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.48 : 14,907.84 = 5,785.68 : x
  2. Step 2: Convert to fraction form
    9,954.48/14,907.84 = 5,785.68/x
  3. Step 3: Cross multiply
    9,954.48x = 14,907.84 × 5,785.68
  4. Step 4: Simplify right side
    9,954.48x = 86,251,991.73
  5. Step 5: Solve for x
    x = 86,251,991.73/9,954.48
  6. Step 6: Final answer
    x = 8,664.64

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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.