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Finding the Fourth Proportional to 9,506.65, 13,119.10 and 5,474.27

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Solution

The fourth proportional to 9,506.65, 13,119.10 and 5,474.27 is: 7,554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.65 : 13,119.10 = 5,474.27 : x
  2. Step 2: Convert to fraction form
    9,506.65/13,119.10 = 5,474.27/x
  3. Step 3: Cross multiply
    9,506.65x = 13,119.10 × 5,474.27
  4. Step 4: Simplify right side
    9,506.65x = 71,817,495.56
  5. Step 5: Solve for x
    x = 71,817,495.56/9,506.65
  6. Step 6: Final answer
    x = 7,554.45

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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.