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Finding the Fourth Proportional to 9,506.93, 13,120.05 and 5,474.36

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Solution

The fourth proportional to 9,506.93, 13,120.05 and 5,474.36 is: 7,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.93 : 13,120.05 = 5,474.36 : x
  2. Step 2: Convert to fraction form
    9,506.93/13,120.05 = 5,474.36/x
  3. Step 3: Cross multiply
    9,506.93x = 13,120.05 × 5,474.36
  4. Step 4: Simplify right side
    9,506.93x = 71,823,811.32
  5. Step 5: Solve for x
    x = 71,823,811.32/9,506.93
  6. Step 6: Final answer
    x = 7,554.89

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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.