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Finding the Fourth Proportional to 9,507.62, 14,263.13 and 3,266.02

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Solution

The fourth proportional to 9,507.62, 14,263.13 and 3,266.02 is: 4,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.62 : 14,263.13 = 3,266.02 : x
  2. Step 2: Convert to fraction form
    9,507.62/14,263.13 = 3,266.02/x
  3. Step 3: Cross multiply
    9,507.62x = 14,263.13 × 3,266.02
  4. Step 4: Simplify right side
    9,507.62x = 46,583,596.53
  5. Step 5: Solve for x
    x = 46,583,596.53/9,507.62
  6. Step 6: Final answer
    x = 4,899.61

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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.