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Finding the Fourth Proportional to 9,506.91, 14,250.65 and 3,661.23

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Solution

The fourth proportional to 9,506.91, 14,250.65 and 3,661.23 is: 5,488.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.91 : 14,250.65 = 3,661.23 : x
  2. Step 2: Convert to fraction form
    9,506.91/14,250.65 = 3,661.23/x
  3. Step 3: Cross multiply
    9,506.91x = 14,250.65 × 3,661.23
  4. Step 4: Simplify right side
    9,506.91x = 52,174,888.99
  5. Step 5: Solve for x
    x = 52,174,888.99/9,506.91
  6. Step 6: Final answer
    x = 5,488.10

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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.