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Finding the Fourth Proportional to 9,506.99, 14,256.41 and 3,267.62

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Solution

The fourth proportional to 9,506.99, 14,256.41 and 3,267.62 is: 4,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.99 : 14,256.41 = 3,267.62 : x
  2. Step 2: Convert to fraction form
    9,506.99/14,256.41 = 3,267.62/x
  3. Step 3: Cross multiply
    9,506.99x = 14,256.41 × 3,267.62
  4. Step 4: Simplify right side
    9,506.99x = 46,584,549.75
  5. Step 5: Solve for x
    x = 46,584,549.75/9,506.99
  6. Step 6: Final answer
    x = 4,900.03

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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.