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Finding the Fourth Proportional to 9,448.56, 14,174.76 and 3,296.88

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Solution

The fourth proportional to 9,448.56, 14,174.76 and 3,296.88 is: 4,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.56 : 14,174.76 = 3,296.88 : x
  2. Step 2: Convert to fraction form
    9,448.56/14,174.76 = 3,296.88/x
  3. Step 3: Cross multiply
    9,448.56x = 14,174.76 × 3,296.88
  4. Step 4: Simplify right side
    9,448.56x = 46,732,482.75
  5. Step 5: Solve for x
    x = 46,732,482.75/9,448.56
  6. Step 6: Final answer
    x = 4,945.99

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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.