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Finding the Fourth Proportional to 9,661.72, 14,499.08 and 3,421.72

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Solution

The fourth proportional to 9,661.72, 14,499.08 and 3,421.72 is: 5,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.72 : 14,499.08 = 3,421.72 : x
  2. Step 2: Convert to fraction form
    9,661.72/14,499.08 = 3,421.72/x
  3. Step 3: Cross multiply
    9,661.72x = 14,499.08 × 3,421.72
  4. Step 4: Simplify right side
    9,661.72x = 49,611,792.02
  5. Step 5: Solve for x
    x = 49,611,792.02/9,661.72
  6. Step 6: Final answer
    x = 5,134.88

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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.