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Finding the Fourth Proportional to 9,454.40, 13,045.94 and 5,474.96

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Solution

The fourth proportional to 9,454.40, 13,045.94 and 5,474.96 is: 7,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.40 : 13,045.94 = 5,474.96 : x
  2. Step 2: Convert to fraction form
    9,454.40/13,045.94 = 5,474.96/x
  3. Step 3: Cross multiply
    9,454.40x = 13,045.94 × 5,474.96
  4. Step 4: Simplify right side
    9,454.40x = 71,425,999.66
  5. Step 5: Solve for x
    x = 71,425,999.66/9,454.40
  6. Step 6: Final answer
    x = 7,554.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.