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Finding the Fourth Proportional to 9,248.28, 13,866.80 and 3,546.68

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Solution

The fourth proportional to 9,248.28, 13,866.80 and 3,546.68 is: 5,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.28 : 13,866.80 = 3,546.68 : x
  2. Step 2: Convert to fraction form
    9,248.28/13,866.80 = 3,546.68/x
  3. Step 3: Cross multiply
    9,248.28x = 13,866.80 × 3,546.68
  4. Step 4: Simplify right side
    9,248.28x = 49,181,102.22
  5. Step 5: Solve for x
    x = 49,181,102.22/9,248.28
  6. Step 6: Final answer
    x = 5,317.86

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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.