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Finding the Fourth Proportional to 9,506.61, 14,255.84 and 3,267.26

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Solution

The fourth proportional to 9,506.61, 14,255.84 and 3,267.26 is: 4,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.61 : 14,255.84 = 3,267.26 : x
  2. Step 2: Convert to fraction form
    9,506.61/14,255.84 = 3,267.26/x
  3. Step 3: Cross multiply
    9,506.61x = 14,255.84 × 3,267.26
  4. Step 4: Simplify right side
    9,506.61x = 46,577,448.18
  5. Step 5: Solve for x
    x = 46,577,448.18/9,506.61
  6. Step 6: Final answer
    x = 4,899.48

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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.