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Finding the Fourth Proportional to 9,497.53, 14,243.19 and 3,170.71

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Solution

The fourth proportional to 9,497.53, 14,243.19 and 3,170.71 is: 4,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.53 : 14,243.19 = 3,170.71 : x
  2. Step 2: Convert to fraction form
    9,497.53/14,243.19 = 3,170.71/x
  3. Step 3: Cross multiply
    9,497.53x = 14,243.19 × 3,170.71
  4. Step 4: Simplify right side
    9,497.53x = 45,161,024.96
  5. Step 5: Solve for x
    x = 45,161,024.96/9,497.53
  6. Step 6: Final answer
    x = 4,755.03

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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.