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Finding the Fourth Proportional to 9,844.70, 14,758.88 and 3,917.93

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Solution

The fourth proportional to 9,844.70, 14,758.88 and 3,917.93 is: 5,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.70 : 14,758.88 = 3,917.93 : x
  2. Step 2: Convert to fraction form
    9,844.70/14,758.88 = 3,917.93/x
  3. Step 3: Cross multiply
    9,844.70x = 14,758.88 × 3,917.93
  4. Step 4: Simplify right side
    9,844.70x = 57,824,305.41
  5. Step 5: Solve for x
    x = 57,824,305.41/9,844.70
  6. Step 6: Final answer
    x = 5,873.65

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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.